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It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent space to the ith marked point) and a n...
We give another proof of Ekedahl, Lando, Shapiro, and Vainshtein's remarkable formula expressing Hurwitz numbers (counting covers of P1 with speci ed simple branch points, and speci ed branching over...
We prove a remarkable formula for Hodge integrals conjectured by Mari˜no and Vafa [23] based on large N duality, using functorial virtual localization on certain moduli spaces of relative stable ...
We outline a proof of a remarkable formula for Hodge integrals conjectured by Mari˜no and Vafa based on large N duality.
Formula is motivated by a formula of one-partition Hodge integrals conjectured by M. Mari˜no and C. Vafa in and proved by us in . See for another approach to the Mari˜no-Vafa formula. The Ma...

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