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Naturality and mapping class groups in H...

Juhász, András...

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Naturality and mapping class groups in Heegaard Floer homology by Juhász, András ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1210.4996

Citation

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AMA 11th EditionReferences

Juhász, András. Naturality and mapping class groups in Heegaard Floer homology. Australian National University. July 27, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/5698

APA 7th EditionReferences

Juhász, András. (2023). Naturality and mapping class groups in Heegaard Floer homology. Australian National University. https://online.provdatabase.com/cite/5698

Chicago 17th EditionReferences

Juhász, András. Naturality and mapping class groups in Heegaard Floer homology. Australian National University. 2023. https://online.provdatabase.com/cite/5698

HarvardReferences

Juhász, András. (2023). Naturality and mapping class groups in Heegaard Floer homology. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5698. (Accessed 20 September 2024).

Harvard AustraliaReferences

Juhász, András, 2023, Naturality and mapping class groups in Heegaard Floer homology, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/5698>

MLA 9th EditionWorks Cited

Juhász, András. Naturality and mapping class groups in Heegaard Floer homology. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5698.

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