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Surgery equivalence relations for 3-manifolds - MaRDI portal

Surgery equivalence relations for 3-manifolds (Q6121624)

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scientific article; zbMATH DE number 7809854

Language	Label	Description	Also known as
English	Surgery equivalence relations for 3-manifolds	scientific article; zbMATH DE number 7809854

Statements

scholarly article

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Surgery equivalence relations for 3-manifolds (English)

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Gwénaël Massuyeau

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Winter Braids Lecture Notes

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publication date

27 February 2024

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full work available at URL

https://arxiv.org/abs/2301.12428

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zbMATH Keywords

3-manifolds

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mapping class groups

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surgery

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Torelli groups

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clasper calculus

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MaRDI profile type

MaRDI publication profile

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Clover calculus for homology 3-spheres via basic algebraic topology

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Necessary and sufficient conditions that a 3-manifold be \(S^3\)

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On Siegel's modular group

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Poincare's conjecture and the homeotopy group of a closed, orientable 2-manifold

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Braids, Links, and Mapping Class Groups. (AM-82)

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The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold

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A functorial LMO invariant for Lagrangian cobordisms

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On finite generation of the Johnson filtrations

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Dehn surgery equivalence relations on 3-manifolds

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Finite type invariants of 3-manifolds

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Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)

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Quadratic functions and complex spin structures on three-manifolds

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Bilinear and quadratic forms on torsion modules

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On finiteness properties of the Johnson filtrations

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Triviality of the 𝐽₄-equivalence among homology 3-spheres

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ON FINITE TYPE 3-MANIFOLD INVARIANTS I

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THE MYSTERY OF THE BRANE RELATION

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Calculus of clovers and finite type invariants of 3-manifolds

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Finite type 3-manifold invariants, the mapping class group and blinks

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Finite type 3-manifold invariants and the structure of the Torelli group. I

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On finite type 3-manifold invariants. II

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Finite type invariants and n-equivalence of 3-manifolds

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Claspers and finite type invariants of links

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Symplectic Jacobi diagrams and the Lie algebra of homology cylinders

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From mapping class groups to monoids of homology cobordisms: a survey

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Bordism invariants of the mapping class group

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Infinitesimal presentations of the Torelli groups

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Representations of homology 3-spheres

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Links, pictures and the homology of nilpotent groups

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Homeomorphisms of a Surface which Act Trivially on Homology

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Quadratic Forms and the Birman-Craggs Homomorphisms

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The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)

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A survey of the Torelli group

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The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves

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The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)

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Algebraic classification of linking pairings on 3-manifolds

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The topology of 4-manifolds

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Quadratische Formen und Verschlingungsinvarianten von Knoten

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The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant

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Branched covering spaces and the quadratic forms of links

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On a universal perturbative invariant of 3-manifolds

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A sum formula for the Casson-Walker invariant

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Homology cylinders: an enlargement of the mapping class group

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The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres

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The genus 2 Torelli group is not finitely generated

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Über Beziehungen zwischen höheren Kommutatoren.

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Spin Borromean surgeries

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Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds

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Finite-type invariants of 3-manifolds and the dimension subgroup problem

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An introduction to the Abelian Reidemeister torsion of three-dimensional manifolds

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Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant

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Characterization of Y<sub>2</sub>-Equivalence for Homology Cylinders

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Equivalence relations for homology cylinders and the core of the Casson invariant

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Arrow calculus for welded and classical links

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Morse Theory. (AM-51)

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The transversality characteristic class and linking cycles in surgery theory

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Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I

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On the structure of the Torelli group and the Casson invariant

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Abelian quotients of subgroups of the mapping class group of surfaces

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Torelli group, Johnson kernel, and invariants of homology spheres

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Finite type invariants of rational homology 3-spheres

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Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries

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On a certain move generating link-homology

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Abelian quotients of the \(Y\)-filtration on the homology cylinders via the LMO functor

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On the kernel of the surgery map restricted to the 1‐loop part

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A polynomial invariant of integral homology 3-spheres

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FINITE TYPE INVARIANTS OF INTEGRAL HOMOLOGY 3-SPHERES

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Group rings and their augmentation ideals

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Integral homology $3$-spheres and the Johnson filtration

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Two Theorems on the Mapping Class Group of a Surface

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On the fourth integer dimension subgroup

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A New Proof that Ω<sub>3</sub> is Zero

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Invariants for homology 3-spheres

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Braid commutators and Vassiliev invariants

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On the intersection ring of compact three manifolds

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On a Theorem of C. B. Thomas

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Quelques propriétés globales des variétés différentiables

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The Oriented Homotopy Type of Compact 3-Manifolds

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COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS

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Quadratic forms on finite groups, and related topics

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Quadratic Forms on Finite Groups II

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Modifications and Cobounding Manifolds

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.5802/WBLN.38

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Sitelinks

Mathematics(1 entry)

mardi Publication:6121624

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