NSTL国家科技图书文献中心

1. Geometrical proof of generalized mirror transformation of projective hypersurfaces NSTL国家科技图书文献中心

Jinzenji, Masao - 《International journal of mathematics》 - 2023,34(2) - ARTN 2350006～ - 共17页

摘要： of the generalized mirror transformation* of genus 0* | In this paper, we propose a geometrical proof | Gromov-Witten invariants of degree k hypersurface in | CPN-1.

关键词： Mirror symmetry | moduli space of quasimaps | excess intersection | generalized mirror transformation | QUANTUM COHOMOLOGY RINGS | GAUSS-MANIN SYSTEM | SYMMETRY | INSTANTONS

2. The fully supersymmetric AKNS problem: Darboux transformations and discrete systems NSTL国家科技图书文献中心

Zhou, Xiaoyuan | Xue, Lingling ... - 《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 - 2023,98(3) - ARTN 035209～ - 共20页 - 被引量：1

摘要： Darboux transformations for Manin-Radul supersymmetric | transformation is further applied to construct integrable | The fully supersymmetric AKNS spectral problem | with four superfields proposed by Morosi and | Pizzocchero is considered. This is a hybrid problem of the

关键词： Darboux transformations | Backlund transformations | discrete systems | integrable supersymmetric systems | BACKLUND-TRANSFORMATIONS | EXTENSION | EQUATION | SYMMETRIES

3. GENERALISED MANIN TRANSFORMATIONS AND QRT MAPS ESCI 新兴来源引文索引 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Peter H. van der Kam... | David I. McLaren ... - 《Journal of computational dynamics》 - 2021,8(2) - 183～211 - 共29页

摘要： generalised Manin* transformation can be brought to QRT form* | Manin transformations are maps of the plane | by a fractional affine transformation. We also | specify classes of generalised Manin* transformations* | that preserve a pencil of cubic curves. They are the

关键词： QRT map | Manin transformation | pencil of curves | involution | measure preservation | Pascal's theorem | symmetries.

4. Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

van der Kamp, Peter ... | Celledoni, Elena ... - 《Journal of physics, A. Mathematical and theoretical》 - 2019,52(4) - 共10页 - 被引量：6

摘要： other is a generalised Manin* involution. Applications* | We apply Kahan's discretisation method to | three classes of 2D quadratic vector fields with | quadratic, resp. cubic, resp. quartic Hamiltonians. We | show that the maps obtained in this way can be

关键词： Hamiltonian | Manin transformation | Kahan discretization | QRT mapping | quadratic vectorfield | Suslov problem | reduced Nahm equations

5. Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems NSTL国家科技图书文献中心

Petrera, Matteo | Smirin, Jennifer ... - 《Proceedings of the Royal Society. Mathematical, physical and engineering sciences》 - 2019,475(2223) - 共13页 - 被引量：4

摘要： six different ways as a composition of two Manin | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic canonical Hamiltonian vector field, this map is

关键词： integrable maps | integrable discretization | Hamiltonian vector field | elliptic curve | Manin transformation

6. GEOMETRY OF THE KAHAN DISCRETIZATIONS OF PLANAR QUADRATIC HAMILTONIAN SYSTEMS. II. SYSTEMS WITH A LINEAR POISSON TENSOR SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Matteo Petrera | Yuri B. Suris - 《Journal of computational dynamics》 - 2019,6(2) - 401～408 - 共8页

摘要： root of a generalised Manin* transformation" by P. van* | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic Hamiltonian vector field with a linear Poisson

关键词： Integrable map | Hamiltonian systems | birational maps | Kahan's discretization | pencil of conics

7. Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Thomas Reichelt - 《Compositio mathematica》 - 2014,150(6) - 911～941 - 共31页 - 被引量：12

摘要： structure on the Gau?-Manin* system of an associated family* | We endow certain GKZ-hypergeometric systems | with a natural structure of a mixed Hodge module | , which is compatible with the mixed Hodge module | of Laurent polynomials. As an application we show

关键词： Gau?-Manin system | hypergeometric D-module | Radon transformation | mixed Hodge module

8. Dirac approach to constrained submanifolds in a double loop group: From Wess-Zumino-Novikov-Witten to Poisson-Lie σ-model SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

H. Montani | M. Zuccalli - 《Journal of Mathematical Physics》 - 2014,55(9) - 093504-1～093504-19 - 共19页

摘要： each isotropic subspace of the associated Manin | bundle, where it fails to be a canonical transformation | We study the restriction to a family of second | class constrained submanifolds in the cotangent bundle | of a double Lie group equipped with a 2-cocycle

关键词： Dirac | approach | constrained

9. Quantum differential systems and construction of rational structures SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Antoine Douai - 《Manuscripta mathematica》 - 2014,145(3/4) - 285～317 - 共33页 - 被引量：2

摘要： sections of the Gauss-Manin* connection associated with* | transformation. | We consider mirror symmetry (A-side vs B-side | , namely singularity side) in the framework of quantum | differential systems. We focuse on the logarithmic non

关键词： Quantum | systems | construction

10. Iterated period integrals and multiple Hecke L-functions SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Choie, Y.J. | Ihara, K. - 《Manuscripta mathematica》 - 2013,142(1/2) - 245～255 - 共11页 - 被引量：3

摘要：, which is introduced by Manin* around 2004. This* | -function obtained by the Mellin transformation* of a cusp* | In this paper we express the multiple Hecke L | -function in terms of a linear combination of iterated | period integrals associated with elliptic cusp forms

摘要： of the generalized mirror transformation* of genus 0* | In this paper, we propose a geometrical proof | Gromov-Witten invariants of degree k hypersurface in | CPN-1.

关键词： Mirror symmetry | moduli space of quasimaps | excess intersection | generalized mirror transformation | QUANTUM COHOMOLOGY RINGS | GAUSS-MANIN SYSTEM | SYMMETRY | INSTANTONS

摘要： Darboux transformations for Manin-Radul supersymmetric | transformation is further applied to construct integrable | The fully supersymmetric AKNS spectral problem | with four superfields proposed by Morosi and | Pizzocchero is considered. This is a hybrid problem of the

关键词： Darboux transformations | Backlund transformations | discrete systems | integrable supersymmetric systems | BACKLUND-TRANSFORMATIONS | EXTENSION | EQUATION | SYMMETRIES

摘要： generalised Manin* transformation can be brought to QRT form* | Manin transformations are maps of the plane | by a fractional affine transformation. We also | specify classes of generalised Manin* transformations* | that preserve a pencil of cubic curves. They are the

关键词： QRT map | Manin transformation | pencil of curves | involution | measure preservation | Pascal's theorem | symmetries.

摘要： other is a generalised Manin* involution. Applications* | We apply Kahan's discretisation method to | three classes of 2D quadratic vector fields with | quadratic, resp. cubic, resp. quartic Hamiltonians. We | show that the maps obtained in this way can be

关键词： Hamiltonian | Manin transformation | Kahan discretization | QRT mapping | quadratic vectorfield | Suslov problem | reduced Nahm equations

摘要： six different ways as a composition of two Manin | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic canonical Hamiltonian vector field, this map is

关键词： integrable maps | integrable discretization | Hamiltonian vector field | elliptic curve | Manin transformation

摘要： root of a generalised Manin* transformation" by P. van* | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic Hamiltonian vector field with a linear Poisson

关键词： Integrable map | Hamiltonian systems | birational maps | Kahan's discretization | pencil of conics

摘要： structure on the Gau?-Manin* system of an associated family* | We endow certain GKZ-hypergeometric systems | with a natural structure of a mixed Hodge module | , which is compatible with the mixed Hodge module | of Laurent polynomials. As an application we show

关键词： Gau?-Manin system | hypergeometric D-module | Radon transformation | mixed Hodge module

摘要： each isotropic subspace of the associated Manin | bundle, where it fails to be a canonical transformation | We study the restriction to a family of second | class constrained submanifolds in the cotangent bundle | of a double Lie group equipped with a 2-cocycle

关键词： Dirac | approach | constrained

摘要： sections of the Gauss-Manin* connection associated with* | transformation. | We consider mirror symmetry (A-side vs B-side | , namely singularity side) in the framework of quantum | differential systems. We focuse on the logarithmic non

关键词： Quantum | systems | construction

摘要：, which is introduced by Manin* around 2004. This* | -function obtained by the Mellin transformation* of a cusp* | In this paper we express the multiple Hecke L | -function in terms of a linear combination of iterated | period integrals associated with elliptic cusp forms

关键词： Primary 11E45 | Secondary 11M32

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the generalized mirror transformation of genus 0 | In this paper, we propose a geometrical proof | Gromov-Witten invariants of degree k hypersurface in | CPN-1.

关键词： Mirror symmetry | moduli space of quasimaps | excess intersection | generalized mirror transformation | QUANTUM COHOMOLOGY RINGS | GAUSS-MANIN SYSTEM | SYMMETRY | INSTANTONS

摘要： Darboux transformations for Manin-Radul supersymmetric | transformation is further applied to construct integrable | The fully supersymmetric AKNS spectral problem | with four superfields proposed by Morosi and | Pizzocchero is considered. This is a hybrid problem of the

关键词： Darboux transformations | Backlund transformations | discrete systems | integrable supersymmetric systems | BACKLUND-TRANSFORMATIONS | EXTENSION | EQUATION | SYMMETRIES

摘要： generalised Manin transformation can be brought to QRT form | Manin transformations are maps of the plane | by a fractional affine transformation. We also | specify classes of generalised Manin transformations | that preserve a pencil of cubic curves. They are the

关键词： QRT map | Manin transformation | pencil of curves | involution | measure preservation | Pascal's theorem | symmetries.

摘要： other is a generalised Manin involution. Applications | We apply Kahan's discretisation method to | three classes of 2D quadratic vector fields with | quadratic, resp. cubic, resp. quartic Hamiltonians. We | show that the maps obtained in this way can be

关键词： Hamiltonian | Manin transformation | Kahan discretization | QRT mapping | quadratic vectorfield | Suslov problem | reduced Nahm equations

摘要： six different ways as a composition of two Manin | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic canonical Hamiltonian vector field, this map is

关键词： integrable maps | integrable discretization | Hamiltonian vector field | elliptic curve | Manin transformation

摘要： root of a generalised Manin transformation" by P. van | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic Hamiltonian vector field with a linear Poisson

关键词： Integrable map | Hamiltonian systems | birational maps | Kahan's discretization | pencil of conics

摘要： structure on the Gau?-Manin system of an associated family | We endow certain GKZ-hypergeometric systems | with a natural structure of a mixed Hodge module | , which is compatible with the mixed Hodge module | of Laurent polynomials. As an application we show

关键词： Gau?-Manin system | hypergeometric D-module | Radon transformation | mixed Hodge module

摘要： each isotropic subspace of the associated Manin | bundle, where it fails to be a canonical transformation | We study the restriction to a family of second | class constrained submanifolds in the cotangent bundle | of a double Lie group equipped with a 2-cocycle

关键词： Dirac | approach | constrained

摘要： sections of the Gauss-Manin connection associated with | transformation. | We consider mirror symmetry (A-side vs B-side | , namely singularity side) in the framework of quantum | differential systems. We focuse on the logarithmic non

关键词： Quantum | systems | construction

摘要：, which is introduced by Manin around 2004. This | -function obtained by the Mellin transformation of a cusp | In this paper we express the multiple Hecke L | -function in terms of a linear combination of iterated | period integrals associated with elliptic cusp forms

关键词： Primary 11E45 | Secondary 11M32

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the generalized mirror transformation* of genus 0* | In this paper, we propose a geometrical proof | Gromov-Witten invariants of degree k hypersurface in | CPN-1.

摘要： generalised Manin* transformation can be brought to QRT form* | Manin transformations are maps of the plane | by a fractional affine transformation. We also | specify classes of generalised Manin* transformations* | that preserve a pencil of cubic curves. They are the

摘要： other is a generalised Manin* involution. Applications* | We apply Kahan's discretisation method to | three classes of 2D quadratic vector fields with | quadratic, resp. cubic, resp. quartic Hamiltonians. We | show that the maps obtained in this way can be

摘要： root of a generalised Manin* transformation" by P. van* | Kahan discretization is applicable to any | quadratic vector field and produces a birational map which | approximates the shift along the phase flow. For a planar | quadratic Hamiltonian vector field with a linear Poisson

摘要： structure on the Gau?-Manin* system of an associated family* | We endow certain GKZ-hypergeometric systems | with a natural structure of a mixed Hodge module | , which is compatible with the mixed Hodge module | of Laurent polynomials. As an application we show

摘要： sections of the Gauss-Manin* connection associated with* | transformation. | We consider mirror symmetry (A-side vs B-side | , namely singularity side) in the framework of quantum | differential systems. We focuse on the logarithmic non

摘要：, which is introduced by Manin* around 2004. This* | -function obtained by the Mellin transformation* of a cusp* | In this paper we express the multiple Hecke L | -function in terms of a linear combination of iterated | period integrals associated with elliptic cusp forms