Mari\~no-Vafa Formula and Hodge Integral Identities
Abstract
In this note we derive some consequences from the Mari\~no-Vafa formula and the cut-and-join equation, these include unified simple proofs of the λg conjecture and some other Hodge integral identities. We also describe a proof of the ELSV formula relating Hurwitz numbers and Hodge integrals by using the cut-and-join equation, following our proof of the Mari\~no-Vafa formula.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.