Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formulae of one-partition and two-partition Hodge integrals   Based 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.

0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph