An infinite-rank summand of the homology cobordism group

DOI10.1215/00127094-2022-0082arXiv1810.06145OpenAlexW4386870484MaRDI QIDQ6143354

Linh Truong, Jennifer Hom, Matthew Stoffregen, Irving Dai

Publication date: 5 January 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06145

zbMATH Keywords

homology cobordismthree-manifoldinvolutive Heegaard Floer

Mathematics Subject Classification ID

Floer homology (57R58) Cobordism and concordance in PL-topology (57Q60) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) General topology of 4-manifolds (57K40)

Cites Work

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• The knot Floer complex and the smooth concordance group
• Monopole Floer homology for rational homology 3-spheres
• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• Homology cobordism group of homology 3-spheres
• Pseudofree orbifolds
• Classification of simplicial triangulations of topological manifolds
• Equivariant aspects of Yang-Mills Floer theory
• A connected sum formula for involutive Heegaard Floer homology
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• The absolute gradings on embedded contact homology and Seiberg-Witten Floer cohomology
• More concordance homomorphisms from knot Floer homology
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• Connected Heegaard Floer homology of sums of Seifert fibrations
• Correction to the article ``An infinite-rank summand of topologically slice knots
• An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields
• Involutive Heegaard Floer homology
• Quasistabilization and basepoint moving maps in link Floer homology
• On homology cobordism and local equivalence between plumbed manifolds
• Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
• Instanton Homology of Seifert Fibred Homology Three Spheres
• Manolescu invariants of connected sums
• Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions
• HOMOLOGY COBORDISM AND TRIANGULATIONS
• APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY
• Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations
• Involutive bordered Floer homology
• Connected sums and involutive knot Floer homology
• INVOLUTIVE HEEGAARD FLOER HOMOLOGY AND PLUMBED THREE-MANIFOLDS

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