Heegaard Floer homology for manifolds with torus boundary: properties and examples. Issue 4 (8th September 2022)
- Record Type:
- Journal Article
- Title:
- Heegaard Floer homology for manifolds with torus boundary: properties and examples. Issue 4 (8th September 2022)
- Main Title:
- Heegaard Floer homology for manifolds with torus boundary: properties and examples
- Authors:
- Hanselman, Jonathan
Rasmussen, Jacob
Watson, Liam - Abstract:
- Abstract: This is a companion paper to earlier work of the authors (Preprint, arXiv:1604.03466, 2016), which interprets the Heegaard Floer homology for a manifold with torus boundary in terms of immersed curves in a punctured torus. We establish a variety of properties of this invariant, paying particular attention to its relation to knot Floer homology, the Thurston norm, and the Turaev torsion. We also give a geometric description of the gradings package from bordered Heegaard Floer homology and establish a symmetry under Spin c $\operatorname{Spin}^c$ conjugation; this symmetry gives rise to genus one mutation invariance in Heegaard Floer homology for closed three‐manifolds. Finally, we include more speculative discussions on relationships with Seiberg–Witten theory, Khovanov homology, and HF ± $\mathit {HF}^\pm$ . Many examples are included.
- Is Part Of:
- Proceedings of the London Mathematical Society. Volume 125:Issue 4(2022)
- Journal:
- Proceedings of the London Mathematical Society
- Issue:
- Volume 125:Issue 4(2022)
- Issue Display:
- Volume 125, Issue 4 (2022)
- Year:
- 2022
- Volume:
- 125
- Issue:
- 4
- Issue Sort Value:
- 2022-0125-0004-0000
- Page Start:
- 879
- Page End:
- 967
- Publication Date:
- 2022-09-08
- Subjects:
- Mathematics -- Periodicals
Mathematics
Periodicals
510 - Journal URLs:
- http://catalog.hathitrust.org/api/volumes/oclc/1606055.html ↗
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http://firstsearch.oclc.org/journal=0024-6115;screen=info;ECOIP ↗ - DOI:
- 10.1112/plms.12473 ↗
- Languages:
- English
- ISSNs:
- 0024-6115
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6751.000000
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British Library HMNTS - ELD Digital store - Ingest File:
- 24314.xml