Séminaire de Géométrie Tropicale

Institut Mathématiques de Jussieu ,
Université Pierre et Marie Curie, Paris 6
UMR CNRS 7586



14 novembre 2012, 16h15 salle 1525-502



Dimitri Zvonkine (IMJ)

Double ramification cycles in Mbar_{g,n}

Résumé :
Given a list of n integers a_1, ..., a_n with zero sum, the double ramification cycle DR(a_1, ..., a_n) in the moduli space Mbar_{g,n} is the locus of curves (C, x_1, ..., x_n) such that there exists a meromorphic function on C with zeros and poles only at the marked points, the multiplicities being prescribed by the integers a_1, ..., a_n. Finding the homology classes of double ramification cycles is an open problem with applications, in particular, in Symplectic Field Theory. We will explain how to compute the intersection number of this homology class with any monomial in psi-classes.