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THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS
Hurwitz numbers Gromov-Witten potential moduli space
2015/7/14
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...
HODGE INTEGRALS AND HURWITZ NUMBERS VIA VIRTUAL LOCALIZATION
HODGE INTEGRALS HURWITZ NUMBERS
2015/7/14
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...
A proof of a conjecture of Marino-Vafa on Hodge integrals
proof of a conjecture Marino-Vafa Hodge integrals
2018/4/20
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 ...
On a proof of a conjecture of Marino-Vafa on Hodge integrals
a proof of a conjecture Marino-Vafa Hodge integrals
2018/4/20
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...