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1. Residue formula for flag manifold of type A from wall-crossing NSTL国家科技图书文献中心

Ohkawa, Ryo -  《Journal of algebraic combinatorics》 - 2025,61(1) - 共12页

摘要:We consider equivariant integrals on flag manifolds of type A. Using a computational method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove residue formulas for equiv...
关键词: Flag manifold |  Wall-crossing formula |  Symmetric polynomial |  Grothendieck polynomial

2. Tetrahedron equation and Schur functions NSTL国家科技图书文献中心

Iwao, Shinsuke |  Motegi, Kohei... -  《Journal of physics,A.Mathematical and theoretical》 - 2025,58(1) - 共31页

摘要:The tetrahedron equation introduced by Zamolodchikov is a three-dimensional generalization of the Yang-Baxter equation. Several types of solutions to the tetrahedron equation that have connections to ...
关键词: tetrahedron equation |  Schur polynomials |  symmetric functions

3. Algebraic formulas and geometric derivation of source identities NSTL国家科技图书文献中心

Motegi, Kohei |  Ohkawa, Ryo -  《Journal of physics, A. Mathematical and theoretical》 - 2024,57(32) - ARTN 325201~ - 共46页

摘要:Source identities are fundamental identities between multivariable special functions. We give a geometric derivation of rational and trigonometric source identities. We also give a systematic derivati...
关键词: source identities |  transformation formula |  hypergeometric functions |  ELLIPTIC HYPERGEOMETRIC-SERIES

4. FUNCTIONAL EQUATIONS OF NEKRASOV FUNCTIONS PROPOSED BY ITO, MARUYOSHI, AND OKUDA SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Ohkawa, Ryo -  《Moscow mathematical journal》 - 2020,20(3) - 531~573 - 共43页

摘要:We prove functional equations of Nekrasov partition functions for A(1)-singularity, suggested by Ito, Maruyoshi, and Okuda. Our proof is given by the computation similar to that from a recent paper by...
关键词: Nekrasov partition functions |  framed sheaves |  instantons

5. The FFRT property of two-dimensional normal graded rings and orbifold curves SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Hara, Nobuo |  Ohkawa, Ryo -  《Advances in Mathematics》 - 2020,370 - 共37页

摘要:We study the finite F-representation type (abbr. FFRT) property of a two-dimensional normal graded ring R in characteristic p > 0, using notions from the theory of algebraic stacks. Given a graded rin...
关键词: Finite F-representation type |  Frobenius push-forward |  Graded ring |  Orbifold curve

6. Wall-crossing between stable and co-stable ADHM data SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Ohkawa, Ryo -  《Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics》 - 2018,108(6) - 1485~1523 - 共39页

摘要:We prove formula between Nekrasov partition functions defined from stable and co-stable ADHM data for the plane following method by Nakajima and Yoshioka (Kyoto J Math 51(2):263-335, 2011) based on th...
关键词: Nekrasov partition functions |  Instantons |  Framed sheaves

7. FLIPS OF MODULI OF STABLE TORSION FREE SHEAVES WITH c(1)=1 ON P-2 SCOPUS Scopus数据库 SCIE Web of Science核心 NSTL国家科技图书文献中心

Ohkawa, Ryo -  《Bulletin de la Societe mathematique de France》 - 2014,142(3) - 349~378 - 共30页

摘要:We study flips of moduli schemes of stable torsion free sheaves E with c(1) (E) = 1 on P-2 via wall-crossing phenomena of Bridgeland stability conditions. They are described as stratified Grassmann bu...
关键词: Bridgeland stability |  moduli of vector bundles

8. In vitro selection of random peptides against artificial lipid bilayers: a potential tool to immobilize molecules on membranes NSTL国家科技图书文献中心

Kobayashi, Shota |  Terai, Takuya... -  《Chemical communications》 - 2017,53(24) - 3458~3461 - 共4页

摘要:The first in vitro selection of binding peptides against artificial lipid membranes from a random peptide library using an in vitro display method (cDNA display) is reported. The selected peptide, LB-...

9. Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation

Awata, Hidetoshi |  Hasegawa, Koji... -  《symmetry integrability and geometry-methods and applications》 - 2024,20 - 共55页

摘要:We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov (q-KZ) equation for U-v(A(1)((1))) with 1 generic spins. Namely, we can tun...
关键词: affine Laumon space |  quantum affine algebra |  non-stationary difference equation |  quantum Knizhnik-Zamolodchikov equation |  YANG-BAXTER EQUATION |  CONFORMAL BLOCKS |  LIE-ALGEBRAS |  DEFORMATION |  INTEGRALS |  OPERATOR...

10. Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painleve Equation

Awata, Hidetoshi |  Hasegawa, Koji... -  《symmetry integrability and geometry-methods and applications》 - 2023,19 - 共47页

摘要:We show the relation of the non-stationary difference equation proposed by one of the authors and the quantized discrete Painleve VI equation. The five-dimensional Seiberg- Witten curve associated wit...
关键词: affine Laumon space |  affine Weyl group |  deformed Virasoro algebra |  non-stationary difference equation |  quantum Painleve equation |  VIRASORO ALGEBRA |  CONFORMAL BLOCKS |  LIE-ALGEBRAS
检索条件作者:Ohkawa, Ryo
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