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Overview"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." Full Product DetailsAuthor: Andras Juhasz , Dylan P. Thurston , Ian ZemkePublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.332kg ISBN: 9781470449728ISBN 10: 1470449722 Publication Date: 30 March 2022 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationAndras Juhasz, University of Oxford, United Kingdom. Dylan P. Thurston, Indiana University, Bloomington. Ian Zemke, Princeton University, NJ. Tab Content 6Author Website:Countries AvailableAll regions |