Equivariant Floer homology and its applications

Abstract: Floer theory comes in various flavours and has developed into a primary tool in low-dimensional topology. In this talk, I will discuss the construction of an equivariant Seiberg–Witten–Floer homology associated to finite group actions on rational homology 3-spheres. This gives rise to a series of numerical invariants and I will survey some of their applications in knot theory, to equivariant embeddings and as obstructions to extending group actions to bounding 4-manifolds. This is joint work with David Baraglia.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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