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2017 The motivic Donaldson–Thomas invariants of ($-$2)-curves
Ben Davison, Sven Meinhardt
Algebra Number Theory 11(6): 1243-1286 (2017). DOI: 10.2140/ant.2017.11.1243

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.

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Ben Davison. Sven Meinhardt. "The motivic Donaldson–Thomas invariants of ($-$2)-curves." Algebra Number Theory 11 (6) 1243 - 1286, 2017. https://doi.org/10.2140/ant.2017.11.1243

Information

Received: 6 February 2016; Revised: 23 November 2016; Accepted: 1 February 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06763326
MathSciNet: MR3687097
Digital Object Identifier: 10.2140/ant.2017.11.1243

Subjects:
Primary: 14N35

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 6 • 2017
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