Russel Avdek: A closed, tight contact 3-manifold with vanishing contact homology

Contact homology (CH) is an invariant which assigns a differential graded algebra to each closed contact manifold. While this invariant shares some formal properties with Heegaard-Floer homology, CH is comparatively not well-understood due to a current lack of computational techniques. In this talk, we will describe the first example of a closed, tight contact 3-manifold whose CH is the zero algebra. In proving that CH=0 for this contact manifold, we will summarize some computational tools which relate surgeries and cobordisms to dynamical systems and holomorphic curves in a combinatorial fashion.

All the best, see you (virually) on Friday
Andras


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https://zoom.us/j/95787283717

Meeting ID: 957 8728 3717