A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology
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Publication:2216744
DOI10.4171/JEMS/994zbMath1455.57018arXiv1708.00289OpenAlexW3048505897MaRDI QIDQ2216744
Mohammed Abouzaid, Ciprian Manolescu
Publication date: 17 December 2020
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00289
Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)
Related Items (10)
Opers and the twisted Bogomolny equations ⋮ Yang–Mills theories on geometric spaces ⋮ On the sheaf-theoretic \(\mathrm{SL}(2,\mathbb{C})\) Casson-Lin invariant ⋮ Batalin-Vilkovisky quantization and supersymmetric twists ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ A two-category of Hamiltonian manifolds, and a (1+1+1) field theory ⋮ \(\operatorname{SL}(2, \mathbb{C})\) Floer cohomology for surgeries on some knots ⋮ Volume and symplectic structure for \(\ell\)-adic local systems ⋮ Local \(G_2\)-manifolds, Higgs bundles and a colored quantum mechanics ⋮ Holonomy perturbations of the Chern-Simons functional for lens spaces
Cites Work
- Real structures on moduli spaces of Higgs bundles
- Shifted symplectic structures
- Higgs bundles and \((A,B,A)\)-branes
- Three-dimensional topological field theory and symplectic algebraic geometry. II
- Cohomology of \(SL(2,\mathbb C)\) character varieties of surface groups and the action of the Torelli group
- Fivebranes and knots
- Varieties of group representations and splittings of 3-manifolds
- A classical model for derived critical loci
- Casson's invariant and gauge theory
- Fukaya categories and Picard-Lefschetz theory
- Functoriality for Lagrangian correspondences in Floer theory
- Electric-magnetic duality and the geometric Langlands program
- The symplectic nature of fundamental groups of surfaces
- Valuations, trees, and degenerations of hyperbolic structures. I
- Degenerations of hyperbolic structures. II: Measured laminations in 3- manifolds
- Degenerations of hyperbolic structures. III: Actions of 3-manifold groups on trees and Thurston's compactness theorem
- Morse theory for Lagrangian intersections
- Singularities and topology of hypersurfaces
- Holomorphic curves in symplectic geometry
- Sheaves in topology
- A strong coupling test of \(S\)-duality
- Fivebranes and 3-manifold homology
- Holomorphic disks and topological invariants for closed three-manifolds
- An instanton-invariant for 3-manifolds
- Witten's conjecture and Property P
- Knot invariants from four-dimensional gauge theory
- A categorification of the Jones polynomial
- Fukaya-Seidel category and gauge theory
- On representation varieties of 3-manifold groups
- \(\mathrm{PSL}(2; \mathbb C)\) connections on 3-manifolds with \(L^2\) bounds on curvature
- The variety of characters in \(\text{PSL}_2(\mathbb{C})\)
- Remarks on the cohomology of groups
- Character varieties
- Floer Homology on the Extended Moduli Space
- Symmetries and stabilization for sheaves of vanishing cycles
- Instantons and odd Khovanov homology
- A Beginner’s Introduction to Fukaya Categories
- Knot homology groups from instantons
- THE SL2(ℂ) CASSON INVARIANT FOR SEIFERT FIBERED HOMOLOGY SPHERES AND SURGERIES ON TWIST KNOTS
- Surface Operators and Knot Homologies
- Varieties of representations of finitely generated groups
- The Self-Duality Equations on a Riemann Surface
- Deformations of reducible representations of 3-manifold groups into SL2(ℂ)
- A Darboux theorem for derived schemes with shifted symplectic structure
- Three-Dimensional Manifolds and Their Heegaard Diagrams
- BPS spectra and 3-manifold invariants
- Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
- Two lectures on gauge theory and Khovanov homology
- Characters of free groups represented in the two‐dimensional special linear group
- Locality in the Fukaya category of a hyperkähler manifold
- Symplectic Topology and Floer Homology
- Two Lectures On The Jones Polynomial And Khovanov Homology
- MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
- Dehn surgery on knots
- Hyperbolic manifolds and discrete groups
- An intersection theory count of the \(\text{SL}_2({\mathbb C})\)-representations of the fundamental group of a \(3\)-manifold
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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