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Speaker:
Marco Marengon
Affiliation:
MPIM
Date:
Mon, 15/02/2021 - 14:00 - 15:00
Parent event:
MPIM Topology Seminar
Meeting ID: 916 5855 1117
Password: as before.
Contact: Aru Ray and Tobias Barthel.
We explain how to use standard gauge-theoretical techniques to prove that a given 3-manifold does not bound a negative definite 4-manifold. The recurring example of the talk will be Poincaré's homology sphere. We will discuss the obstructions coming from Donaldson’s theorem and from the Heegaard Floer d-invariants. To demonstrate that the latter are convenient to work with, we will compute the d-invariant of the Poincaré sphere in 3 different ways.
| Attachment | Size |
|---|---|
 marengon.pdf | 8.81 MB |
| © MPI f. Mathematik, Bonn | Impressum & Datenschutz |
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