Naturality and Mapping Class Groups in Heegard Floer Homology Paperback / softback
by Andras Juhasz, Dylan P. Thurston, Ian Zemke
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
We show that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural.
That is, they assign concrete groups to each based 3-manifold, based link, and balanced sutured manifold, respectively.
Furthermore, we functorially assign isomorphisms to (based) diffeomorphisms, and show that this assignment is isotopy invariant. The proof relies on finding a simple generating set for the fundamental group of the "space of Heegaard diagrams," and then showing that Heegaard Floer homology has no monodromy around these generators.
In fact, this allows us to give sufficient conditions for an arbitrary invariant of multi-pointed Heegaard diagrams to descend to a natural invariant of 3-manifolds, links, or sutured manifolds.
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Out of stock
- Format:Paperback / softback
- Pages:Illustrations, unspecified
- Publisher:American Mathematical Society
- Publication Date:30/03/2022
- Category:
- ISBN:9781470449728
Other Formats
- PDF from £76.50
Information
-
Out of stock
- Format:Paperback / softback
- Pages:Illustrations, unspecified
- Publisher:American Mathematical Society
- Publication Date:30/03/2022
- Category:
- ISBN:9781470449728
