Instanton Floer homology and contact structures

DOI10.1007/S00029-015-0206-XzbMath1344.53059arXiv1405.3278OpenAlexW3104985067MaRDI QIDQ268179

John A. Baldwin, Steven Sivek

Publication date: 14 April 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3278

zbMATH Keywords

contact classovertwisted contact structuredStein fillabilitysutured contact manifoldssutured instanton Floer homology

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

Related Items (19)

Khovanov homology detects the trefoils ⋮ Integer homology 3-spheres admit irreducible representations in \(\mathrm{SL}(2,{\mathbb C})\) ⋮ Contact structures, excisions and sutured monopole Floer homology ⋮ Framed instanton homology of surgeries on L-space knots ⋮ Instantons and \(\mathrm{L}\)-space surgeries ⋮ Instanton Floer homology, sutures, and Euler characteristics ⋮ Framed instanton homology and concordance ⋮ Instanton Floer homology, sutures, and Heegaard diagrams ⋮ Decomposing sutured monopole and instanton Floer homologies ⋮ The cosmetic crossing conjecture for split links ⋮ Instanton \(L\)-spaces and splicing ⋮ L-space knots are fibered and strongly quasipositive ⋮ Sutured instanton homology and Heegaard diagrams ⋮ Stein fillings and \(\operatorname{SU}(2)\) representations ⋮ A CONTACT INVARIANT IN SUTURED MONOPOLE HOMOLOGY ⋮ On the equivalence of contact invariants in sutured Floer homology theories ⋮ Gluing maps and cobordism maps in sutured monopole and instanton Floer theories ⋮ Floer theory and its topological applications ⋮ Sutured Floer homology and invariants of Legendrian and transverse knots

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