Abstract
We prove the crepant resolution conjecture for DonaldsonThomas invariants of hard Lefschetz CY3 orbifolds, formulated by BryanCadmanYoung, interpreting the statement as an equality of rational functions. In order to do so, we show that the generating series of stable pair invariants on any CY3 orbifold is the expansion of a rational function. As a corollary, we deduce a symmetry of this function induced by the derived dualising functor. Our methods also yield a proof of the orbifold DT/PT correspondence for multiregular curve classes on hard Lefschetz CY3 orbifolds.
Original language  English 

Publisher  ArXiv 
Publication status  Published  15 Oct 2018 
Keywords
 math.AG
 14N35 (Primary), 14J32 (Secondary)
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Profiles

Sjoerd Beentjes
 School of Mathematics  Chancellor's Fellow
Person: Academic: Research Active (Research Assistant)