scholarly journals Quantum cohomology of the infinite-dimensional generalized flag manifolds

2004 ◽  
Vol 185 (2) ◽  
pp. 347-369 ◽  
Author(s):  
Augustin-Liviu Mare
Keyword(s):  
Quantum Cohomology ◽  
Flag Manifolds ◽  
Generalized Flag Manifolds ◽  
Infinite Dimensional

scholarly journals GLSMs for exotic Grassmannians

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Wei Gu ◽  
Eric Sharpe ◽  
Hao Zou
Keyword(s):  
Global Symmetries ◽  
Sigma Models ◽  
Quantum Cohomology ◽  
Flag Manifolds ◽  
Coulomb Branch ◽  
Linear Sigma Models ◽  
Symplectic Grassmannians ◽  
Orthogonal Grassmannians

Abstract In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we check that Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.

Generalized flag manifolds as framed boundaries

1975 ◽  
Vol 142 (2) ◽  
pp. 191-193 ◽  
Author(s):  
Harsh V. Pittie ◽  
Larry Smith
Keyword(s):  
Flag Manifolds ◽  
Generalized Flag Manifolds
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