Davison, B. and Meinhardt, S. (2017) The motivic Donaldson–Thomas invariants of (−2)-curves. Algebra and Number Theory, 11(6), pp. 1243-1286. (doi: 10.2140/ant.2017.11.1243)
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Abstract
We calculate the motivic Donaldson–Thomas invariants for (−2)-curves arising from 3-fold flopping contractions in the minimal model program. We translate this geometric situation into the machinery developed by Kontsevich and Soibelman, and using the results and framework developed earlier by the authors we describe the monodromy on these invariants. In particular, in contrast to all existing known Donaldson–Thomas invariants for small resolutions of Gorenstein singularities these monodromy actions are nontrivial.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Davison, Nicholas |
| Authors: | Davison, B., and Meinhardt, S. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Algebra and Number Theory |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 1937-0652 |
| ISSN (Online): | 1944-7833 |
| Copyright Holders: | Copyright © 2017 Mathematical Sciences Publishers |
| First Published: | First published in Algebra and Number Theory 11(6):1243-1286 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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