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Showing 1 to 7 of 7 for “"sheaf cohomology"”.
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On the infinitesimal theory of Chow groups
… of Bloch expresses the Chow groups as Zariski sheaf cohomology groups of algebraic K-theory sheaves on X. Bloch's formula follows from the fact that the coniveau spectral sequence for algebraic K-theory on X induces flasque resolutions of these sheaves. Algebraic cycles and algebraic K-theory …
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Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds
… terms of the dimension of certain Dolbeault and sheaf cohomology groups. The strategy is to lift the problem locally to a $\Gamma$-invariant problem on a manifold. ALE manifolds are non-compact manifolds with one end, for which the metric at infinity approximates a flat metric. We study ALE …
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Chiral Rings of Two-dimensional Field Theories with (0,2) Supersymmetry
… As a special case, we study the quantum sheaf cohomology of Grassmannians as a deformation of the usual quantum cohomology. The deformation corresponds to a (0,2) deformation of the nonabelian gauged linear sigma model whose geometric phase is associated with the Grassmannian. Combined …
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Torsors over Simplicial Schemes
… in a small Grothendieck site C, and let G be a sheaf of groups on C. We define a notion of G-torsor over X, generalizing a definition of Gillet, and prove that there is a bijection between the set of isomorphism classes of G-torsors over X, and the set of maps in the homotopy category of …
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The overconvergent de Rham-Witt complex
… p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If dim C < p, we have an isomorphism integrally. One advantage of our construction is that it does not involve a choice of lift to characteristic zero. To prove that the cohomology groups are the …
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Gauged Linear Sigma Model and Mirror Symmetry
… with new formulas that render the quantum sheaf cohomology relations and other properties manifest. We also include unpublished results for counting deformation parameters. The third chapter is about mirror symmetry. In the first part of the third chapter, we propose an extension of the …
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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… equivariant Hirzebruch index of the Dolbeault cohomology of the resolution, hereafter referred to as the index. In many cases, the index can be explicitly calculated via localisation theorems. By limiting to zero the fugacities in the index corresponding to an isometry, one forms the index of …