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Logarithmic Gromov-Witten invariants

Presented by: 
M Gross [UCSD]
Date: 
Friday 17th June 2011 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
Relative Gromov-Witten invariants, which count curves with specified orders of tangency with a smooth divisor, have proven to be an extremely useful tool in Gromov-Witten theory: the gluing formula allows one to compute GW invariants of varieties by degenerating them to normal crossing unions of two varieties and then computing relative GW invariants on each of these varieties. Siebert and I propose a generalization of relative GW invariants which will allow tangency conditions with much more general divisors, and allow much more complicated degenerations.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons