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Title:
Naturality in sutured monopole homology
Speaker:
Abstract:
I'll talk about certain naturality results for Kronheimer and Mrowka's monopole Floer invariants of balanced sutured manifolds. Basically, we prove that the module associated to a sutured manifold is independent of the choices made in its construction, up to canonical isomorphisms (which are well-defined up to multiplication by a unit in the underlying ring). These results are very similar to recent results on the naturality of sutured Floer homology by Juhasz and Thurston, and provide the foundation for extending Kronheimer and Mrowka's construction to a variety of interesting functorial frameworks. I'll discuss applications to contact geometry and to defining invariants of knots and bordered 3-manifolds. This is joint work with Steven Sivek.
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