Cosection localization and vanishing for virtual fundamental classes of d-manifolds

Michail Savvas

doi:10.1016/j.aim.2022.108232

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Cosection localization and vanishing for virtual fundamental classes of d-manifolds

Journal article

Peer reviewed

Cosection localization and vanishing for virtual fundamental classes of d-manifolds

Michail Savvas

Advances in mathematics (New York. 1965), Vol.398, p.108232

03/26/2022

DOI: 10.1016/j.aim.2022.108232

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Abstract

We establish cosection localization and vanishing results for virtual fundamental classes of derived manifolds, combining the theory of derived differential geometry by Joyce with the theory of cosection localization by Kiem-Li. As an application, we show that the stable pair invariants of hyperkähler fourfolds, defined by Cao-Maulik-Toda, are zero.

Cosection

d-manifold

Donaldson-Thomas invariants

Hyperkähler fourfolds

Localization

Shifted symplectic derived geometry

Virtual fundamental class

Details

Title: Subtitle: Cosection localization and vanishing for virtual fundamental classes of d-manifolds
Creators: Michail Savvas - The University of Texas at Austin
Resource Type: Journal article
Publication Details: Advances in mathematics (New York. 1965), Vol.398, p.108232
Publisher: Elsevier Inc
DOI: 10.1016/j.aim.2022.108232
ISSN: 0001-8708
eISSN: 1090-2082
Language: English
Date published: 03/26/2022
Academic Unit: Mathematics
Record Identifier: 9984696578302771

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