Lattice cohomology in topology and singularity theory
Event details
| Date | 08.12.2014 |
| Hour | 15:15 › 17:00 |
| Speaker | András Némethi (Budapest, MTA) |
| Location | |
| Category | Conferences - Seminars |
Links of complex normal surface singularities are graph manifolds
with negative definite intersection forms. To such a 3-manifold we construct a
cohomology theory, called the `lattice cohomology'. It is a bridge between
topological and analytical invariants of the singularity. Its Euler characteristic is the
Seiberg-Witten invariant of the link, conjecturally it coincides with the
Heegaard Floer homology of the link; on the other hand it has subtle connection with
the cohomology of analytic line bundles on the resolution (e.g. with the
geometric genus). These connections are concentrated around several key conjectures.
We discuss these conjectures, results and several examples.
with negative definite intersection forms. To such a 3-manifold we construct a
cohomology theory, called the `lattice cohomology'. It is a bridge between
topological and analytical invariants of the singularity. Its Euler characteristic is the
Seiberg-Witten invariant of the link, conjecturally it coincides with the
Heegaard Floer homology of the link; on the other hand it has subtle connection with
the cohomology of analytic line bundles on the resolution (e.g. with the
geometric genus). These connections are concentrated around several key conjectures.
We discuss these conjectures, results and several examples.
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