Department of Mathematics

Geometry and Topology

  •  Cuspidal curves of higher genus
  •  11/17/2016
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall
  •  Jozsef Bodnar, Stony Brook

The theory of complex projective plane curves has a long history. However, curves of higher genus are rarely studied. It turns out that Heegaard-Floer theory can be effectively used to obtain constraints on possible cusp types of such curves. In fact, restricting ourselves to the case of curves with one cusp having a torus knot link, one can obtain an almost complete classification of possible torus knot types for infinitely many curve genera. The proof is a nice interplay of the theory of numerical semigroups, generalized Pell equations and birational transformations. These results were obtained in a joint work with Daniele Celoria and Marco Golla. Independently, similar work was done by Maciej Borodzik, Matthew Hedden and Charles Livingston.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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