On the sheaf-theoretic \(\mathrm{SL}(2,\mathbb{C})\) Casson-Lin invariant

DOI10.2969/jmsj/84808480OpenAlexW4225269898MaRDI QIDQ2165745

Laurent Côté, Ikshu Neithalath

Publication date: 23 August 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02593

zbMATH Keywords

Casson-Lin invariantssheaf-theoretic Floer homology

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

• The \(\mathrm{SU}(N)\) Casson-Lin invariants for links
• A Casson-Lin type invariant for links
• Donaldson-Thomas type invariants via microlocal geometry
• A knot invariant via representation spaces
• Chern classes for singular algebraic varieties
• Stratifications de Whitney et théorème de Bertini-Sard
• Deforming abelian SU(2)-representations of knot groups
• Plane curves associated to character varieties of 3-manifolds
• Flat connections, the Alexander invariant, and Casson's invariant
• Sheaves in topology
• Topology of representation spaces of surface groups in \(\mathrm{PSL}_2(\mathbb R)\) with assigned boundary monodromy and nonzero Euler number
• A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology
• On representation varieties of 3-manifold groups
• A multivariable Casson-Lin type invariant
• The SL(2, C) Casson Invariant for Knots and the Â-polynomial
• A theory of generalized Donaldson–Thomas invariants
• Virtual signed Euler characteristics
• CONSTRUCTIBLE FUNCTIONS ON ARTIN STACKS
• Triangulation of Stratified Objects
• Variation of moduli of parabolic Higgs bundles
• Chern-Schwartz-Macpherson Classes and the Euler Characteristic of Degeneracy Loci and Special Divisors
• A sheaf‐theoretic SL(2,C) Floer homology for knots
• MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the sheaf-theoretic \(\mathrm{SL}(2,\mathbb{C})\) Casson-Lin invariant