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A proof of the Donaldson-Thomas crepant resolution conjecture. (arXiv:1810.06581v1 [math.AG])
来源于:arXiv
We prove the crepant resolution conjecture for Donaldson-Thomas invariants of
hard Lefschetz CY3 orbifolds, formulated by Bryan-Cadman-Young, after
reinterpreting it 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 multi-regular curve
classes on hard Lefschetz CY3 orbifolds. 查看全文>>