Holonomy perturbations of the Chern-Simons functional for lens spaces

DOI10.1512/iumj.2021.70.9360zbMath1479.57034arXiv1811.01536OpenAlexW3210419311MaRDI QIDQ5014755

David Boozer

Publication date: 8 December 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01536

Mathematics Subject Classification ID

Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (1)

The moduli space of stable rank 2 parabolic bundles over an elliptic curve with 3 marked points

Cites Work

• The pillowcase and traceless representations of knot groups. II: A Lagrangian-Floer theory in the pillowcase
• On presentations of surface braid groups.
• Moduli spaces of Hecke modifications for rational and elliptic curves
• A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology
• The space of homeomorphisms on a torus
• Filtrations on instanton homology
• Remarks on the cohomology of groups
• Knot Floer homology of \((1,1)\)-knots
• The pillowcase and perturbations of traceless representations of knot groups
• On Floer homology and the Berge conjecture on knots admitting lens space surgeries
• Knot homology groups from instantons
• (1, 1)-knots via the mapping class group of the twice punctured torus
• The Fukaya category of the pillowcase, traceless character varieties, and Khovanov cohomology
• Mapping class groups and their relationship to braid groups
• A finite presentation of the mapping class group of a punctured surface

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