A simple proof of Witten conjecture through localization

Abstract

We obtain a system of relations between linear Hodge integrals. As an application, we show that its first non-trivial relation implies the Witten's Conjecture/Kontsevich Theorem.

9 pages, LaTeX; references added, typos corrected

References in corpus (2)

• Hurwitz numbers and intersections on moduli spaces of curves
• Gromov-Witten theory, Hurwitz numbers, and Matrix models, I

Cited by in corpus (13)

• Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
• The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers
• Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
• Generalized string equations for double Hurwitz numbers
• Intersection numbers with Witten's top Chern class
• Tautological relations in Hodge field theory
• Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich theorem
• Polynomial recursion formula for linear Hodge integrals
• Localization and Conjectures from String Duality
• Intersection numbers and automorphisms of stable curves
• Cusps and the family hyperbolic metric
• Some results of Marino-Vafa formula
• Gromov-Witten invariants of toric Calabi-Yau threefolds