Coupling of Two Conformal Field Theories and Nakajima–Yoshioka Blow-Up Equations

[1]  A. Shchechkin,et al.  Bilinear Equations on Painlevé τ Functions from CFT , 2014, 1406.3008.

[2]  A. Belavin,et al.  Instanton Moduli Spaces and Bases in Coset Conformal Field Theory , 2011, 1111.2803.

[3]  A. Okounkov,et al.  Quantum Groups and Quantum Cohomology , 2012, 1211.1287.

[4]  O. Schiffmann,et al.  Cherednik algebras, W-algebras and the equivariant cohomology of the moduli space of instantons on A2 , 2012, Publications mathématiques de l'IHÉS.

[5]  Vasyl Alba,et al.  On Combinatorial Expansion of the Conformal Blocks Arising from AGT Conjecture , 2010, 1012.1312.

[6]  K. Yoshioka,et al.  Perverse coherent sheaves on blowup, III: Blow-up formula from wall-crossing , 2009, 0911.1773.

[7]  U. Bruzzo,et al.  Poincaré Polynomial of Moduli Spaces of Framed Sheaves on (Stacky) Hirzebruch Surfaces , 2009, 0909.1458.

[8]  L. Alday,et al.  Liouville Correlation Functions from Four-Dimensional Gauge Theories , 2009, 0906.3219.

[9]  A. Litvinov,et al.  On AGT conjecture , 2009, 0912.0504.

[10]  T. Welsh,et al.  Andrews–Gordon type identities from combinations of Virasoro characters , 2005, math-ph/0504014.

[11]  M. Schottenloher.  Representation Theory of the Virasoro Algebra , 2008 .

[12]  Kota Yoshioka,et al.  Instanton counting on blowup, I , 2003 .

[13]  Kota Yoshioka,et al.  Instanton counting on blowup. I. 4-dimensional pure gauge theory , 2003, math/0306198.

[14]  E. Frenkel,et al.  Vertex Algebras and Algebraic Curves , 2000, math/0007054.

[15]  Alexander M. Polyakov,et al.  Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory , 1996 .

[16]  Z. Kaiming.  Representations of the Virasoro Algebra, I , 1995 .

[17]  A. Fujitsu.  ope.math: Operator product expansions in free field realizations of conformal field theory , 1994 .

[18]  B. Feigin,et al.  Quasi-particles models for the representations of Lie algebras and geometry of flag manifold , 1993, hep-th/9308079.

[19]  B. Feigin,et al.  Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities , 1993, hep-th/9301039.

[20]  Boris Feigin,et al.  Quantization of the Drinfeld-Sokolov reduction , 1990 .

[21]  B. Feigin,et al.  Representations of affine Kac-Moody algebras, bosonization and resolutions , 1990 .

[22]  V. Kac,et al.  Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Adrian Kent,et al.  Unitary representations of the Virasoro and super-Virasoro algebras , 1986 .

[24]  V. Kac,et al.  Basic representations of affine Lie algebras and dual resonance models , 1980 .

[25]  David Kazhdan,et al.  Structure of representations with highest weight of infinite-dimensional Lie algebras☆ , 1979 .