A survey of the homology cobordism group (Q6139813)

scientific article; zbMATH DE number 7780687

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English	A survey of the homology cobordism group	scientific article; zbMATH DE number 7780687

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instance of

scholarly article

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title

A survey of the homology cobordism group (English)

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author

Oğuz Şavk

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published in

Bulletin of the American Mathematical Society

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publication date

19 December 2023

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full work available at URL

https://arxiv.org/abs/2209.10735

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zbMATH Keywords

homology cobordism group

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smooth manifolds

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low-dimensional topology

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homology \(3\)-spheres

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knot concordance

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MaRDI profile type

MaRDI publication profile

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cites work

Rational cobordisms and integral homology

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Dehn surgeries and rational homology balls

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Handle decompositions of rational homology balls and Casson–Gordon invariants

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Ribbon concordance of knots is a partial ordering

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Mazur manifolds

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Heegaard Floer homology of some Mazur type manifolds

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Connected Floer homology of covering involutions

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HF=HM. V: Seiberg-Witten Floer homology and handle additions

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Khovanov homology is an unknot-detector

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Khovanov homology and strong inversions

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Elementary surgery along a torus knot

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Obstructing pseudoconvex embeddings and contractible Stein fillings for Brieskorn spheres

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Rational homology cobordisms of Seifert fibred rational homology three spheres.

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On a Certain Numerical Invariant of Link Types

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Homology Cobordisms, Link Concordances, and Hyperbolic 3-Manifolds

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Casson invariant of links of singularities

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Acyclic algebraic surfaces bounded by Seifert spheres

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Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary

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Knot Floer homology and the four-ball genus

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Holomorphic disks and knot invariants

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Rational homology spheres and the four-ball genus of knots

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The Conway knot is not slice

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Piecewise Linear Structures on Topological Manifolds

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Dehn surgery along torus knots

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Notes on homology cobordisms of plumbed homology 3-spheres

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Fukumoto-Furuta invariants of plumbed homology 3-spheres.

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Invariants for homology 3-spheres

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More Brieskorn spheres bounding rational balls

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Topologie dreidimensionaler gefaserter Räume

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Über das Geschlecht von Knoten

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Using rational homology circles to construct rational homology balls

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Generalized Poincaré's conjecture in dimensions greater than four

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Polyhedral homotopy-spheres

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Manolescu invariants of connected sums

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

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Knot Floer homology obstructs ribbon concordance

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mardi Publication:6139813