scholarly journals Surgery, quantum cohomology and birational geometry

1999 ◽  
pp. 183-198 ◽  
Author(s):  
Yongbin Ruan
Keyword(s):  
Quantum Cohomology ◽  
Birational Geometry

scholarly journals Wilson loop algebras and quantum K-theory for Grassmannians

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hans Jockers ◽  
Peter Mayr ◽  
Urmi Ninad ◽  
Alexander Tabler
Keyword(s):  
Wilson Loop ◽  
Gauge Theories ◽  
Wilson Line ◽  
Quantum Cohomology ◽  
Three Dimensional ◽  
Loop Algebra ◽  
Loop Algebras ◽  
Verlinde Algebra ◽  
K Theory ◽  
Chern Simons

Abstract We study the algebra of Wilson line operators in three-dimensional $$ \mathcal{N} $$ N = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for Gr(M, N ). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M, N ), isomorphic to the Verlinde algebra for U(M ), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.

scholarly journals COMPLETION OF THE CONJECTURE: QUANTUM COHOMOLOGY OF FANO HYPERSURFACES

2000 ◽  
Vol 15 (02) ◽  
pp. 101-120 ◽  
Author(s):  
MASAO JINZENJI
Keyword(s):  
Quantum Cohomology

In this letter, we propose the formulas that compute all the rational structural constants of the quantum Kähler subring of Fano hypersurfaces.

scholarly journals Virasoro constraints for quantum cohomology

1998 ◽  
Vol 50 (3) ◽  
pp. 537-590 ◽  
Author(s):  
Xiaobo Liu ◽  
Gang Tian
Keyword(s):  
Quantum Cohomology ◽  
Virasoro Constraints
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