Talk page
Title:
A Bordered Monopole Floer Theory
Speaker:
Abstract:
"I'll discuss work-in-progress toward constructing monopole Floer theoretic invariants of bordered 3-manifolds. Roughly, our construction associates an A-infinity algebra to a surface, an A-infinity module to a bordered 3-manifold, and a map of A-infinity modules to a 4-dimensional cobordism of bordered 3-manifolds. I'll focus on the topological and algebraic aspects of our work and, in particular, will indicate how we prove a pairing theorem relating the invariants of two bordered 3-manifolds with that of the manifold obtained by gluing the former together along homeomorphic components of their boundaries. This is joint work with Jon Bloom.
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