Keyword

mapping class group

Description: A mapping class group is the group of isotopy classes of homeomorphisms of a topological surface, central to low-dimensional topology.

Primary topic: Geometric and Algebraic Topology (83%)

Wikidata ID: wiki/Q3845212

OpenAlex ID: keywords/mapping-class-group

Braids, Links, and Mapping Class Groups

1974 · Joan S. Birman · International Linear Collider · 1,599

A Primer on Mapping Class Groups (PMS-49)

2017 · Benson Farb, Dan Margalit · Princeton University Press eBooks · 929

Quantum Invariants of Knots and 3-Manifolds

2010 · Vladimir G. Turaev · De Gruyter eBooks · 841

Quantum Invariants of Knots and 3-Manifolds

1994 · Vladimir G. Turaev · De Gruyter eBooks · 833

Unitary representations of some infinite dimensional groups

1981 · Graeme Segal · Communications in Mathematical Physics · 773

Moduli spaces of local systems and higher Teichmüller theory

2006 · Vladimir Fock, Alexander Goncharov · Publications mathématiques de l IHÉS · 735

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A Primer on Mapping Class Groups

2011 · Benson Farb, Dan Margalit · Princeton University Press eBooks · 702

The Euler characteristic of the moduli space of curves

1986 · J. Harer, D. Zagier · Inventiones mathematicae · 670

Geometry of the complex of curves I: Hyperbolicity

1999 · Howard A. Masur, Yair N. Minsky · Inventiones mathematicae · 662

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Differentiable Periodic Maps

1979 · P. E. Conner · Lecture notes in mathematics · 593

The Nielsen Realization Problem

1983 · Steven P. Kerckhoff · Annals of Mathematics · 540

Automorphisms of Surfaces after Nielsen and Thurston

1988 · Andrew J. Casson, Steven A. Bleiler · Cambridge University Press eBooks · 520

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

1975 · Joan S. Birman · Princeton University Press eBooks · 482

The decorated Teichm�ller space of punctured surfaces

1987 · R. C. Penner · Communications in Mathematical Physics · 445

The virtual cohomological dimension of the mapping class group of an orientable surface

1986 · John L. Harer · Inventiones mathematicae · 436

Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards

1989 · W. A. Veech · Inventiones mathematicae · 417

Formal (Non)-Commutative Symplectic Geometry

1993 · Maxim Kontsevich · Birkhäuser Boston eBooks · 413

Stability of the Homology of the Mapping Class Groups of Orientable Surfaces

1985 · John L. Harer · Annals of Mathematics · 379

Quasiconformal Teichmüller Theory

1999 · Frederick Gardiner, Nikola Lakic · Mathematical surveys and monographs · 350

The second homology group of the mapping class group of an orientable surface

1983 · John Harer · Inventiones mathematicae · 313

A presentation for the mapping class group of a closed orientable surface

1980 · A. Hatcher, W. Thurston · Topology · 312

Braid groups are linear

2000 · Stephen Bigelow · Journal of the American Mathematical Society · 287

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Handbook of Geometric Topology

2001 · Elsevier eBooks · 283

Bounded cohomology of subgroups of mapping class groups

2002 · Mladen Bestvina, Koji Fujiwara · Geometry & Topology · 276

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An abelian quotient of the mapping class groupI g

1980 · Dennis Johnson · Mathematische Annalen · 257

Works count: 4,192

Citation count: 50,370