Meinhardt, S. and Reineke, M. (2019) Donaldson–Thomas invariants versus intersection cohomology of quiver moduli. Journal für die reine und angewandte Mathematik (Crelles Journal), 2019 (754). pp. 143-178. ISSN 0075-4102
Abstract
The main result of this paper is the statement that the Hodge theoretic Donaldson–Thomas invariant for a quiver with zero potential and a generic stability condition agrees with the compactly supported intersection cohomology of the closure of the stable locus inside the associated coarse moduli space of semistable quiver representations. In fact, we prove an even stronger result relating the Donaldson–Thomas “function” to the intersection complex. The proof of our main result relies on a relative version of the integrality conjecture in Donaldson–Thomas theory. This will be the topic of the second part of the paper, where the relative integrality conjecture will be proven in the motivic context.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Walter de Gruyter GmbH. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Sep 2019 11:00 |
Last Modified: | 18 Sep 2019 11:00 |
Status: | Published |
Publisher: | Walter de Gruyter GmbH |
Refereed: | Yes |
Identification Number: | 10.1515/crelle-2017-0010 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:151010 |