Results 41 to 50 of about 316 (182)
Superspin chains and supersymmetric gauge theories
Journal of High Energy Physics, 2019 We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type. Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the ...
Nikita Nekrasov
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Quantum Sheaf Cohomology on Grassmannians [PDF]
Communications in Mathematical Physics, 2016 60 pages, LaTeX; v2:identifier added to reference; v3:typos ...
Jirui Guo, Zhentao Lu, Eric Sharpe
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Forum of Mathematics, SigmaSchubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le +4 more
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Tangency quantum cohomology and characteristic numbers
Anais da Academia Brasileira de Ciências, 2001 This work establishes a connection between gravitational quantum cohomology and enumerative geometry of rational curves (in a projective homogeneous variety) subject to conditions of infinitesimal nature like, for example, tangency.
JOACHIM KOCK
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Quantum cohomology from mixed Higgs-Coulomb phases
Journal of High Energy PhysicsWe generalize Coulomb-branch-based gauged linear sigma model (GLSM)–computations of quantum cohomology rings of Fano spaces. Typically such computations have focused on GLSMs without superpotential, for which the low energy limit of the GLSM is a pure ...
Wei Gu, Ilarion V. Melnikov, Eric Sharpe
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Topologically twisted SUSY gauge theory, gauge-Bethe correspondence and quantum cohomology
Journal of High Energy Physics, 2019 We calculate the partition function and correlation functions in A-twisted 2d N $$ \mathcal{N} $$ = (2, 2) U(N) gauge theories and topologically twisted 3d N $$ \mathcal{N} $$ = 2 U(N) gauge theories containing an adjoint chiral multiplet with particular
Hee-Joong Chung, Yutaka Yoshida
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Journal of the European Mathematical Society, 2023 We establish a system of PDE, called open WDVV, that constrains the bulk-deformed superpotential and associated open Gromov–Witten invariants of a Lagrangian submanifold L \subset X with a bounding chain.
Solomon, Jake P., Tukachinsky, Sara B.
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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