Description
Abstract:
Many plumbed three-manifolds can be be realised as links of isolated complex surface singularities.
Inspired by Heegaard Floer theory, Nemethi introduced a combinatorial invariant of complex surface singularities
(lattice cohomology) that is conjectured to be isomorphic to Heegaard Floer homology. I will expose some recent
work in collaboration with John Baldwin, Irving Dai, and Steven Sivek showing that the lattice cohomology of an
almost-rational singularity is isomorphic to the framed instanton Floer homology of its link. The proof goes through
lattice cohomology and makes use of the decomposition along characteristic vectors of the instanton cobordism
maps recently found by Baldwin and Sivek.
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https://zoom.us/j/97108714468