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The motivic Donaldson-Thomas invariants of (-2) curves

Ben Davison, Sven Meinhardt

Number 26
Authors Ben Davison
Sven Meinhardt
Year 2012

In this paper we calculate the motivic Donaldson--Thomas invariants for (-2)-curves arising from 3-fold flopping contractions in the minimal model programme. We translate this geometric situation into the machinery developed by Kontsevich and Soibelman, and using the results and framework of the authors' previous work 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 operations are nontrivial.

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