◍wovepaper
SearchResearchersInstitutions
Sign in
math.GTJul 31, 2008
24
citations (OpenAlex)
authors
  • P. B. Kronheimer
  • T. S. Mrowka
arXiv abstractPDF
paper

Knots, sutures and excision

arXiv:0807.4891

Abstract

We develop monopole and instanton Floer homology groups for balanced sutured manifolds. Applications include a new proof of Property P for knots.

71 pages, 9 figures

References in corpus (3)

  • Floer homology and knot complements
  • Floer homology and surface decompositions
  • Knot homology groups from instantons

Cited by in corpus (13)

  • Convex cocompactness and stability in mapping class groups
  • The decategorification of sutured Floer homology
  • Hyperbolic extensions of free groups
  • A link surgery spectral sequence in monopole Floer homology
  • Representation spaces of pretzel knots
  • Homology cylinders and sutured manifolds for homologically fibered knots
  • Khovanov homology is an unknot-detector
  • Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups
  • Addendum to: "Knots, sutures and excision"
  • Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3
  • Instanton homology and the Alexander polynomial
  • A recipe for short-word pseudo-Anosovs
  • Height, Graded Relative Hyperbolicity and Quasiconvexity {\it (with Corrigendum)}
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.