Polynomial recursion formula for linear Hodge integrals

By M. Mulase, Naizhen Zhang. 2009

55 citations recorded by the source corpus.

We establish a polynomial recursion formula for linear Hodge integrals. It is obtained as the Laplace transform of the cut-and-join equation for the simple Hurwitz numbers. We show that the recursion recovers the Witten-Kontsevich theorem when restricted to the top degree terms, and also the combinatorial factor of the lambda_g formula as the lowest degree terms.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f995b256e87c97cc8083f568e53a8d7f864bf859

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. M. Mulase
2. B. Eynard
3. Brad Safnuk
4. Naizhen Zhang

In Computational Theory and Mathematics

1. B. Eynard
2. Brad Safnuk
3. M. Mulase

In Mathematical Physics

1. B. Eynard
2. Brad Safnuk
3. M. Mulase
4. Marcos Mariño
5. N. Orantin
6. Tudor Dimofte

Citations in the corpus

• LOCALIZATION IN GROMOV-WITTEN THEORY AND ORBIFOLD GROMOV-WITTEN THEORY (2011, unknown): “By now, Witten’s conjecture has been reproved many times (Okounkov-Pandharipande [48], Mirzakhani [45], Kim-Liu [35], Kazarian-Lando [34], Chen-Li-Liu [10], Kazarian [33], Mulase-Zhang [46], etc.”
• The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers (2009, methodology): “The following polynomial recursion formula was established in [38].”