Crepant resolution and the holomorphic anomaly equation for [C3/Z3]
نویسندگان
چکیده
منابع مشابه
The Crepant Resolution Conjecture
For orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we formulate a conjectural equivalence between the GromovWitten theories of the orbifold and the resolution. We prove the conjecture for the equivariant Gromov-Witten theories of Sym n C2 and Hilbn C2 .
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Motivated by the recently proposed connection between N = 2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The topological string partition function is interpreted as a wave-function obtained by quantizing the real cohomology of the Calabi-Yau. In this interpretation the apparent background dependence due to th...
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The crepant resolution conjecture states that the Gromov–Witten invariants of an orbifold X should be determined in a precise way by the Gromov–Witten invariants of a crepant resolution of its coarse moduli space. We compute the Gromov–Witten invariants of the stack symmetric square of P 2 and compare them with the Gromov– Witten invariants of its crepant resolution, Hilb 2 P 2 (which were comp...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2019
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms.12248