The crepant resolution conjecture for Donaldson-Thomas invariants
Sjoerd Beentjes (Edinburgh) - Seminar Algebraic Geometry (SAG)
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Dec 13, 2018 from 10:30 am to 11:30 am |
Where | Bonn, Vivatsgasse 7, Hörsaal MPI |
Contact Name | Sachinidis |
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Donaldson-Thomas (DT) invariants are integers that enumerate curves in a given Calabi-Yau 3-fold. Let X be a 3-dimensional Calabi-Yau orbifold, and let Y be a crepant resolution of its coarse moduli space. When X satisfies the Hard Lefschetz condition, i.e., the fibres of the resolution are at most 1-dimensional, the Crepant Resolution Conjecture (CRC) of Bryan-Cadman-Young gives a precise relation between the generating functions of DT invariants of X and Y.