Derived intersections over the Hochschild cochain complex

The paper generalizes a result of Behrend-Fantechi and Baranovsky-Ginzburg to the 1-shifted cotangent bundle \(T^*X[1]\) of a smooth scheme \(X\) over the field of complex numbers. We show how one can obtain twisted cotangent bundles as derived intersections of Lagrangians in \(T^*X[1]\), moreover a...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Author: Hablicsek, Márton
Format: Article
Language:English
Subjects:
Bundles
Bundling
Complex numbers
Intersections
Online Access:Get full text
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Summary:The paper generalizes a result of Behrend-Fantechi and Baranovsky-Ginzburg to the 1-shifted cotangent bundle \(T^*X[1]\) of a smooth scheme \(X\) over the field of complex numbers. We show how one can obtain twisted cotangent bundles as derived intersections of Lagrangians in \(T^*X[1]\), moreover and we show that the derived intersection of the quantized Lagrangians coincide with the canonical quantization of the twisted cotangent bundles.
ISSN:2331-8422