A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture
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Publication:4645848
DOI10.1090/memo/1221zbMath1446.57013arXiv1404.4561OpenAlexW1503679984WikidataQ129610824 ScholiaQ129610824MaRDI QIDQ4645848
Publication date: 11 January 2019
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.4561
Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)
Related Items (7)
Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities ⋮ A survey of the homology cobordism group ⋮ Chern-Simons functional and the homology cobordism group ⋮ Connected Heegaard Floer homology of sums of Seifert fibrations ⋮ Non-formality in PIN(2)-monopole Floer homology ⋮ Involutive bordered Floer homology ⋮ Indefinite Stein fillings and \(\text{PIN}(2)\)-monopole Floer homology
Cites Work
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- The Conley index, gauge theory, and triangulations
- Monopole Floer homology for rational homology 3-spheres
- A link surgery spectral sequence in monopole Floer homology
- Morse homology
- Invariants for homology 3-spheres
- Homology cobordism group of homology 3-spheres
- Classification of simplicial triangulations of topological manifolds
- Integer graded instanton homology groups for homology three spheres
- Seiberg-Witten monopoles on Seifert fibered spaces
- Seiberg-Witten Floer stable homotopy type of three-manifolds with \(b_1=0\)
- Equivariant Seiberg-Witten Floer homology
- Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
- Floer homology of connected sum of homology 3-spheres
- Monopoles and lens space surgeries
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- The combinatorics of Morse theory with boundary
- Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
- Instanton Homology of Seifert Fibred Homology Three Spheres
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Smooth Homology Spheres and their Fundamental Groups
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