Gauge-theoretic obstructions to bounding definite 4-manifolds

Speaker:

Marco Marengon

Affiliation:

MPIM

Date:

Mon, 15/02/2021 - 14:00 - 15:00

Parent event:

MPIM Topology Seminar [2]

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.

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[3]marengon.pdf [4]	8.81 MB