Boundary $\mathcal{N} = 2$ theory, Floer homologies, affine algebras, and the Verlinde formula

2021 ◽  
Vol 25 (1) ◽  
pp. 1-58
Author(s):  
Meer Ashwinkumar ◽  
Kee-Seng Png ◽  
Meng-Chwan Tan
Keyword(s):  
Verlinde Formula ◽  
Affine Algebras

scholarly journals Verlinde formulae on complex surfaces: K-theoretic invariants

2021 ◽  
Vol 9 ◽  
Author(s):  
L. Göttsche ◽  
M. Kool ◽  
R. A. Williams
Keyword(s):  
Moduli Space ◽  
K3 Surfaces ◽  
Complex Surfaces ◽  
Type Formula ◽  
Verlinde Formula ◽  
Donaldson Invariants

Abstract We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves. Our formula interpolates between K-theoretic Donaldson invariants studied by Göttsche and Nakajima-Yoshioka and K-theoretic Vafa-Witten invariants introduced by Thomas and also studied by Göttsche and Kool. We verify our conjectures in many examples (for example, on K3 surfaces).

Eisenstein series and quantum affine algebras

1997 ◽  
Vol 84 (5) ◽  
pp. 1311-1360 ◽  
Author(s):  
M. M. Kapranov
Keyword(s):  
Eisenstein Series ◽  
Quantum Affine Algebras ◽  
Affine Algebras

scholarly journals Connections, Poisson Brackets, and Affine Algebras

1996 ◽  
Vol 180 (3) ◽  
pp. 757-777 ◽  
Author(s):  
Daniel R. Farkas
Keyword(s):  
Poisson Brackets ◽  
Affine Algebras

Quantum affine algebras

1991 ◽  
Vol 142 (2) ◽  
pp. 261-283 ◽  
Author(s):  
Vyjayanthi Chari ◽  
Andrew Pressley
Keyword(s):  
Quantum Affine Algebras ◽  
Affine Algebras

Standard modules of quantum affine algebras

2002 ◽  
Vol 111 (3) ◽  
pp. 509-533 ◽  
Author(s):  
E. Vasserot ◽  
M. Varagnolo
Keyword(s):  
Quantum Affine Algebras ◽  
Affine Algebras

scholarly journals Symmetric quiver Hecke algebras andR-matrices of quantum affine algebras III: Table 1.

2015 ◽  
Vol 111 (2) ◽  
pp. 420-444 ◽  
Author(s):  
Seok-Jin Kang ◽  
Masaki Kashiwara ◽  
Myungho Kim ◽  
Se-jin Oh
Keyword(s):  
Hecke Algebras ◽  
Quantum Affine Algebras ◽  
Affine Algebras
Sign in / Sign up

Export Citation Format

Share Document