|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Deformed dimensional
reduction
Ben Davison and Tudor Pădurariu |
|
Geometry & Topology 26 (2022) 721–776
|
Abstract |
|
Since its first use by Behrend, Bryan, and Szendrői in the computation of motivic Donaldson–Thomas (DT) invariants of , dimensional reduction has proved to be a crucial 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. |
PDF Access Denied
We have not been able to recognize your IP address
18.119.139.50
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
Donaldson–Thomas invariants, quivers with potential
|
Mathematical Subject Classification
Primary: 14N35
Secondary: 16T99
|
References |
Publication
Received: 14 May 2020
Revised: 13 January 2021
Accepted: 11 March 2021
Published: 15 June 2022
Proposed: Jim Bryan
Seconded: Paul Seidel, Richard P Thomas
|
Authors |
| Ben Davison | |
| School of Mathematics University of Edinburgh Edinburgh United Kingdom |
|
| Tudor Pădurariu | |
| Department of Mathematics Columbia University New York, NY United States |
|
