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Seminários do IMPA

Física Matemática

Título
Knot Floer homology and the unknotting number
Expositor
Eaman Eftekhary

Institute for Research in Fundamental Sciences (IPM), Iran
Data
Sexta-feira, 3 de maio de 2019, 13:30
Local
Sala 349
Resumo

The unknotting number of a knot, the minimum number of crossing changes required to unknot it, is a simple and mysterious knot invariant. Several very simple questions about the unknotting number are open, and the answers to some of them use the advanced mathematics developed in the framework of TQFT-type invariants, such as Seiberg—Witten theory, knot Floer theory or Khovanov homology. We will survey some of the techniques, developments and open questions related to the unknotting number and will report on new lower bounds constructed from knot Floer homology and their applications.