Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations

DOI10.1112/S0010437X19007620zbMath1471.57017arXiv1505.03234OpenAlexW920091406MaRDI QIDQ5212327

Matthew Stoffregen

Publication date: 28 January 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03234

zbMATH Keywords

homology cobordismSeifert spacesmonopole Floer homology

Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (12)

Positive scalar curvature and homology cobordism invariants ⋮ A survey of the homology cobordism group ⋮ An infinite-rank summand of the homology cobordism group ⋮ APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY ⋮ Homology spheres with E_8-fillings and arbitrarily large correction terms ⋮ A connected sum formula for involutive Heegaard Floer homology ⋮ Non-formality in PIN(2)-monopole Floer homology ⋮ Involutive bordered Floer homology ⋮ Indefinite Stein fillings and \(\text{PIN}(2)\)-monopole Floer homology ⋮ INVOLUTIVE HEEGAARD FLOER HOMOLOGY AND PLUMBED THREE-MANIFOLDS ⋮ Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot ⋮ The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary

Cites Work

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• The Conley index, gauge theory, and triangulations
• Calculating Heegaard-Floer homology by counting lattice points in tetrahedra
• The \({\bar\mu}\)-invariant of Seifert fibered homology spheres and the Dirac operator
• Pseudofree orbifolds
• Transformation groups
• Classification of simplicial triangulations of topological manifolds
• Equivariant cohomology, Koszul duality, and the localization theorem
• Seiberg-Witten monopoles on Seifert fibered spaces
• On the Floer homology of plumbed three-manifolds
• Seiberg-Witten Floer stable homotopy type of three-manifolds with \(b_1=0\)
• Floer homology of Brieskorn homology spheres
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• Fukumoto-Furuta invariants of plumbed homology 3-spheres.
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Heegaard Floer homology and several families of Brieskorn spheres
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds
• The surgery exact triangle in \(\mathrm{Pin}(2)\)-monopole Floer homology
• The Seiberg-Witten equations and the Weinstein conjecture
• On the intersection forms of spin four-manifolds with boundary
• The equivalence of two Seiberg-Witten Floer homologies
• Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
• A refinement of the Conley index and an application to the stability of hyperbolic invariant sets
• Equivariant Homotopy Theory and Milnor's Theorem
• FLOER HOMOLOGY AND INVARIANTS OF HOMOLOGY COBORDISM
• Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions
• \(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres

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