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Gauge-theoretic obstructions to bounding definite 4-manifolds

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Marco Marengon
Mon, 2021-02-15 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.


File marengon.pdf8.81 MB
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