Formulae of one-partition and two-partition Hodge integrals

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dc.creatorLiu, Chiu-Chu Melissa
dc.date2005-02-20
dc.date2009-03-13
dc.date.accessioned2026-07-07T12:51:59Z
dc.date.available2026-07-07T12:51:59Z
dc.descriptionBased on the duality between open-string theory on noncompact Calabi-Yau threefolds and Chern-Simons theory on three manifolds, M Marino and C Vafa conjectured a formula of one-partition Hodge integrals in term of invariants of the unknot (hep-th/0108064). Many Hodge integral identities, including the lambda_g conjecture and the ELSV formula, can be obtained by taking limits of the Marino-Vafa formula. Motivated by the Marino-Vafa formula and formula of Gromov-Witten invariants of local toric Calabi-Yau threefolds predicted by physicists, J Zhou conjectured a formula of two-partition Hodge integrals in terms of invariants of the Hopf link (math.AG/0310282) and used it to justify physicists' predictions (math.AG/0310283). In this expository article, we describe proofs and applications of these two formulae of Hodge integrals based on joint works of K Liu, J Zhou and the author (math.AG/0306257, math.AG/0306434, math.AG/0308015, math.AG/0310272). This is an expansion of the author's talk of the same title at the BIRS workshop: "The Interaction of Finite Type and Gromov-Witten Invariants", November 15--20, 2003.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 22 April 2006
dc.identifierhttps://arxiv.org/abs/math/0502430
dc.identifierhttp://arxiv.org/abs/math/0502430
dc.identifierGeom. Topol. Monogr. 8 (2006) 105-128
dc.identifierdoi:10.2140/gtm.2006.8.105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223162
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject14N35, 53D45, 57M25
dc.titleFormulae of one-partition and two-partition Hodge integrals
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