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Heegaard Floer homologies and cuspidal curves in CP^2

Speaker(s)
Maciej Borodzik
Affiliation
Uniwersytet Warszawski
Date
Oct. 22, 2013, 12:15 p.m.
Room
room 4070
Seminar
Seminar Algebraic Topology

Using the inequalities for correction terms in Heegaard Floer theory we show constraints for singularities that can occur on a plane rational cuspidal curve. In particular we prove a conjecture by Fernandez de Bobadilla, Luengo, Melle--Hernandez and Nemethi. Generalizations apply for curves of higher genus.