symplectic grassmannians
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2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Wei Gu ◽  
Eric Sharpe ◽  
Hao Zou

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.


2019 ◽  
Vol 19 (10) ◽  
pp. 2050186
Author(s):  
Arpita Nayek ◽  
S. K. Pattanayak

For any simple, simply connected algebraic group [Formula: see text] of type [Formula: see text] and [Formula: see text] and for any maximal parabolic subgroup [Formula: see text] of [Formula: see text], we provide a criterion for a Richardson variety in [Formula: see text] to admit semistable points for the action of a maximal torus [Formula: see text] with respect to an ample line bundle on [Formula: see text].


2019 ◽  
Vol 292 (1-2) ◽  
pp. 569-570
Author(s):  
Gianluca Occhetta ◽  
Luis E. Solá Conde ◽  
Kiwamu Watanabe

2016 ◽  
Vol 286 (3-4) ◽  
pp. 1421-1433 ◽  
Author(s):  
Gianluca Occhetta ◽  
Luis E. Solá Conde ◽  
Kiwamu Watanabe

2015 ◽  
Vol 160 (2) ◽  
pp. 353-377 ◽  
Author(s):  
HARRY TAMVAKIS ◽  
ELIZABETH WILSON

AbstractWe use Young's raising operators to introduce and study double theta polynomials, which specialize to both the theta polynomials of Buch, Kresch, and Tamvakis, and to double (or factorial) Schur S-polynomials and Q-polynomials. These double theta polynomials give Giambelli formulas which represent the equivariant Schubert classes in the torus-equivariant cohomology ring of symplectic Grassmannians, and we employ them to obtain a new presentation of this ring in terms of intrinsic generators and relations.


2015 ◽  
Vol 280 (1-2) ◽  
pp. 269-306 ◽  
Author(s):  
Takeshi Ikeda ◽  
Tomoo Matsumura

2015 ◽  
Vol DMTCS Proceedings, 27th... (Proceedings) ◽  
Author(s):  
Takeshi Ikeda ◽  
Tomoo Matsumura

International audience We prove an explicit closed formula, written as a sum of Pfaffians, which describes each equivariant Schubert class for the Grassmannian of isotropic subspaces in a symplectic vector space On démontre une formule close explicite, écrite comme une somme de Pfaffiens, qui décrit toute classe de Schubert équivariante pour la Grassmannienne des sous-espaces isotropes dans un espace vectoriel symplectique.


2013 ◽  
Vol 24 (13) ◽  
pp. 1350099 ◽  
Author(s):  
BRIAN OSSERMAN

In the 1990s, Bertram, Feinberg and Mukai examined Brill–Noether loci for vector bundles of rank 2 with fixed canonical determinant, noting that the dimension was always bigger in this case than the naive expectation. We generalize their results to treat a much broader range of fixed-determinant Brill–Noether loci. The main technique is a careful study of symplectic Grassmannians and related concepts.


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