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Knot invariants via algebraic geometry
Colloquium| Speaker: | Sabin Cautis, MSRI |
| Location: | 1147 MSB |
| Start time: | Mon, Jan 5 2009, 4:10PM |
We explain how to construct knot and tangle invariants (such as Khovanov homology) by studying holomorphic vector bundles on certain compact, complex manifolds. Topologically these complex manifolds are just products of the same projective space P1. Conjecturially, if one used Grassmannians Gr(k,n) instead of projective spaces this would give a series of new knot invariants analogous to Khovanov homology (this is joint work with Joel Kamnitzer)