Formality of derived intersections and the orbifold HKR isomorphism

DOI10.1016/j.jalgebra.2019.08.002zbMath1445.14009arXiv1412.5233OpenAlexW2967946021WikidataQ127375300 ScholiaQ127375300MaRDI QIDQ2330433

Márton Hablicsek, Andrei Căldăraru, Dima Arinkin

Publication date: 22 October 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5233

zbMATH Keywords

Hochschild cohomologyorbifoldsHKR isomorphismderived intersections

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (12)

Compact hyper-Kähler categories ⋮ Hecke correspondences for smooth moduli spaces of sheaves ⋮ Hochschild cohomology and group actions ⋮ Fundamental Factorization of a GLSM Part I: Construction ⋮ When are two HKR isomorphisms equal? ⋮ The equivariant Hirzebruch-Riemann-Roch theorem and the geometry of derived loop spaces ⋮ The orbifold Hochschild product for Fermat hypersurface ⋮ Hodge theorem for the logarithmic de Rham complex via derived intersections ⋮ Derived loop stacks and categorification of orbifold products ⋮ Derived geometry of the first formal neighbourhood of a smooth analytic cycle ⋮ The Hochschild cohomology ring of a global quotient orbifold ⋮ Equivariant localization and completion in cyclic homology and derived loop spaces

Cites Work

• When is the self-intersection of a subvariety a fibration?
• Formality of derived intersections
• The homotopy theory of dg-categories and derived Morita theory
• Real homotopy theory of Kähler manifolds
• D-branes, \(B\) fields, and ext groups
• Hochschild cohomology of quasiprojective schemes
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Derived quot schemes
• Loop spaces and connections
• Orbifold Cohomology as Periodic Cyclic Homology
• Unnamed Item

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