Quantum sheaf cohomology
WebThe classical master equation. Let M be a (−1)-symplectic variety with support X ∈ C. The classical master equation is the equation [S, S] = 0 0 for a function S ∈ Γ (X, OM ) of degree 0 on M . If S is a solution of the master equation then the operator dS = [S, ] is a differential on the sheaf of P0 -algebras OM . WebQUANTUM SHEAF COHOMOLOGY byEricSHARPE(*) Abstract.— Inthisnotewereview“quantumsheafcohomology,”adeforma-tion of sheaf cohomology that …
Quantum sheaf cohomology
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WebThis work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. WebQuantum sheaf cohomology is a deformation of the cohomology ring of a sheaf. In recent years, this subject had an impetuous development in connection with the $(0; 2)$ non …
http://www.numdam.org/item/10.5802/aif.2800.pdf WebJun 8, 2010 · In this talk we shall review progress towards `(0,2) mirror symmetry,' a heterotic generalization of mirror symmetry, focusing on`quantum sheaf cohomology.' …
WebJul 29, 2001 · Quantum sheaf cohomology is a (0,2) deformation of the ordinary quantum cohomology ring, realized as the OPE ring in A/2-twisted theories. WebWe study the moduli space of A/2 half-twisted gauged linear sigma models for NEF Fano toric varieties. Focusing on toric deformations of the tangent bundle, we describe the vacuum structure of many (0,2) theories, in p…
WebAug 2, 2024 · We study the quantum sheaf cohomology of flag manifolds with deformations of the tangent bundle and use the ring structure to derive how the deformation transforms …
WebLet the vector bundle be a deformation of the tangent bundle over the Grassmannian . We compute the ring structure of sheaf cohomology valued in exterior powers of , also known as the polymology. This is the first par… gothic girl in mysterious forestWebThe paper is concerned with cohomology of the small quantum group at a root of unity, and of its upper triangular ... and to equivariant coherent IC sheaves on the nil-cone. The support of this cohomology is described in terms of cells in affine Weyl groups, and the basis in the Grothendieck group they provide is related to the Kazhdan ... gothic girls steamWebOct 17, 2011 · We derive quantum sheaf cohomology relations that correctly specialize to the ordinary quantum cohomology relations described by Batyrev in the special case … gothic gfWebIn mathematics, sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space.Broadly speaking, sheaf cohomology … gothic girl slippersWebAG ] J a n Quantum Sheaf Cohomology, a pr´ecis. Josh Guffin. Abstract. We present a brief introduction to quantum sheaf cohomology,a generalization of quantum cohomology … gothic girl in autumnWebCohomology with Coefficients in the Presheaf of C∞ q-Forms 5-5 Problems 5-6 6. Sheaves and the Cech–de Rham isomorphism 6-1ˇ 6.1. Sheaves 6-1 Date: June 5, 2010. 1. 1-2 … child amendment billWebOrdinary quantum cohomology is computed by the A model topological field theory [30], which is a theory with (2,2) supersymmetry, a twisted version of a supersymmetric … child anaphylaxis algorithm