scholarly journals Degree of the generalized Pl�cker embedding of a quot scheme and quantum cohomology

1998 ◽  
Vol 311 (1) ◽  
pp. 11-26 ◽  
Author(s):  
M.S. Ravi ◽  
J. Rosenthal ◽  
X. Wang
Keyword(s):  
Quantum Cohomology ◽  
Quot Scheme

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 A symplectic analog of the Quot scheme

2015 ◽  
Vol 353 (11) ◽  
pp. 995-999
Author(s):  
Indranil Biswas ◽  
Ajneet Dhillon ◽  
Jacques Hurtubise ◽  
Richard A. Wentworth
Keyword(s):  
Quot Scheme

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 Codimension One Holomorphic Distributions on the Projective Three-space

2018 ◽  
Vol 2020 (23) ◽  
pp. 9011-9074 ◽  
Author(s):  
Omegar Calvo-Andrade ◽  
Maurício Corrêa ◽  
Marcos Jardim
Keyword(s):  
Projective Space ◽  
Moduli Space ◽  
Tangent Bundle ◽  
Projective Variety ◽  
Arbitrary Degree ◽  
Codimension One ◽  
Quot Scheme ◽  
Space Of Distributions ◽  
Three Space

Abstract We study codimension one holomorphic distributions on the projective three-space, analyzing the properties of their singular schemes and tangent sheaves. In particular, we provide a classification of codimension one distributions of degree at most 2 with locally free tangent sheaves and show that codimension one distributions of arbitrary degree with only isolated singularities have stable tangent sheaves. Furthermore, we describe the moduli space of distributions in terms of Grothendieck’s Quot-scheme for the tangent bundle. In certain cases, we show that the moduli space of codimension one distributions on the projective space is an irreducible, nonsingular quasi-projective variety. Finally, we prove that every rational foliation and certain logarithmic foliations have stable tangent sheaves.

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

scholarly journals The divisor class group of a Quot scheme

2010 ◽  
Vol 3 (0) ◽  
pp. 1-14
Author(s):  
Rafael Hernández ◽  
Daniel Ortega
Keyword(s):  
Class Group ◽  
Divisor Class Group ◽  
Divisor Class ◽  
Quot Scheme
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