Deformed dimensional reduction

Ben Davison, Tudor Pădurariu

Research output: Contribution to journalArticlepeer-review

Abstract

Since its first use by Behrend, Bryan, and Szendrői in the computation of motivic Donaldson-Thomas (DT) invariants of A3C, dimensional reduction has proved to be an important tool in motivic and cohomological DT theory. Inspired by a conjecture of Cazzaniga, Morrison, Pym, and Szendrői on motivic DT invariants, work of Dobrovolska, Ginzburg, and Travkin on exponential sums, and work of Orlov and Hirano on equivalences of categories of singularities, we generalize the dimensional reduction theorem in motivic and cohomological DT theory and use it to prove versions of the Cazzaniga-Morrison-Pym-Szendrői conjecture in these settings.
Original languageEnglish
Number of pages40
JournalGeometry and Topology
Publication statusAccepted/In press - 12 Mar 2021

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