The decategorification of bordered Heegaard Floer homology

DOI10.4310/JSG.2018.v16.n1.a4zbMath1391.57007arXiv1212.4529MaRDI QIDQ1744580

Ina Petkova

Publication date: 23 April 2018

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4529

zbMATH Keywords

knotscategorificationdecategorification(bordered) Heegard Floer homologyAlexander gradingborderd Heegaard diagrambordered 3-manifoldEuler characteristic.Grothendieck group of a (triangulated) categorypointed matched circlestrands algebra

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

Related Items (6)

Heegaard Floer homology for manifolds with torus boundary: properties and examples ⋮ Quantum \(\mathfrak{gl}_{1 | 1}\) and tangle Floer homology ⋮ A calculus for bordered Floer homology ⋮ Bordered Floer homology for manifolds with torus boundary via immersed curves ⋮ On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology ⋮ An absolute \(\mathbb{Z}/2\) grading on bordered Heegaard Floer homology

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