## Hodge integrals and Gromov-Witten theory

- C. Faber, R. Pandharipande
- Mathematics
- 30 October 1998

Integrals of the Chern classes of the Hodge bundle in Gromov-Witten theory are studied. We find a universal system of differential equations which determines the generating function of these… Expand

## A Conjectural Description of the Tautological Ring of the Moduli Space of Curves

- C. Faber
- Mathematics
- 3 November 1997

We formulate a number of conjectures giving a rather complete description of the tautological ring of M g and we discuss the evidence for these conjectures.

## Relative maps and tautological classes

- C. Faber, R. Pandharipande
- Mathematics
- 29 April 2003

The moduli space of stable relative maps to the projective line combines features of stable maps and admissible covers. We prove all standard Gromov-Witten classes on these moduli spaces of stable… Expand

## Tautological relations and the r-spin Witten conjecture

- C. Faber, S. Shadrin, D. Zvonkine
- Mathematics
- 18 December 2006

## Hodge integrals, partition matrices, and the λ g conjecture

- C. Faber, R. Pandharipande
- Mathematics
- 2003

We prove a closed formula for integrals of the cotangent line classes against the top Chern class of the Hodge bundle on the moduli space of stable pointed curves. These integrals are computed via… Expand

## Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.

- C. Faber, R. Pandharipande
- Mathematics
- 14 February 2000

0.1. Overview. Let Mg be the moduli space of Deligne–Mumford stable curves of genus g ≥ 2. The study of the Chow ring of the moduli space of curves was initiated by Mumford in [Mu]. In the past two… Expand

## Complete subvarieties of moduli spaces and the Prym map

We prove that in characteristic p>0 the locus of stable curves of p-rank at most f is pure of codimension g-f in the moduli space of stable curves. Then we consider the Prym map and analyze it using… Expand

## Siegel modular forms of genus 2 and level 2: Cohomological computations and conjectures

- Jonas Bergstrom, C. Faber, G. Geer
- Mathematics
- 6 March 2008

We study the cohomology of certain local systems on moduli spaces of principally polarized abelian surfaces with a level 2 structure. The trace of Frobenius on the alternating sum of the \'etale… Expand

## New Trends in Algebraic Geometry: Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians

- C. Faber
- Mathematics
- 17 June 1997

We describe algorithms for computing the intersection numbers of divisors and of Chern classes of the Hodge bundle on the moduli spaces of stable pointed curves. We also discuss the implementations… Expand

## Siegel modular forms of degree three and the cohomology of local systems

- Jonas Bergström, C. Faber, G. Geer
- Mathematics
- 18 August 2011

We give an explicit conjectural formula for the motivic Euler characteristic of an arbitrary symplectic local system on the moduli space $$\mathcal{A }_3$$ of principally polarized abelian… Expand

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