The Stable Mapping Class Group and Stable Homotopy Theory (original) (raw)

Surfaces in a background space and the homology of mapping class groups

Ib Madsen, Ralph Cohen

Proceedings of Symposia in Pure Mathematics, 2009

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The stable mapping class group of simply connected 4-manifolds

Jeffrey Giansiracusa

Journal Fur Die Reine Und Angewandte Mathematik, 2008

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Homotopy theory of non-orientable mapping class groups

Miguel Maldonado MV

2012

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On the Cohomology of the Mapping Class Group of the Punctured Projective Plane

Miguel Maldonado MV

The Quarterly Journal of Mathematics

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Stable Type of the Mapping Class Group

Ilya Gekhtman

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Mod 2 homology of the stable spin mapping class group

Søren Galatius

Math Ann, 2006

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Rank one phenomena for mapping class groups

Alexander Lubotzky

Duke Math. J, 2001

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Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries

Edward Formanek

Progress in Mathematics, 2000

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Infinite-Type Surfaces and Mapping Class Groups: Open Problems

Yassin Chandran

2021

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The mapping class group and a theorem of Masur–Wolf

Athanase Papadopoulos

Topology and Its Applications, 1999

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Actions of mapping class groups Athanase Papadopoulos

Athanase Papadopoulos

2019

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Subgroups of the mapping class group from the geometrical viewpoint

Christopher Leininger

2007

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Embeddings and the (virtual) cohomological dimension of the braid and mapping class groups of surfaces

Miguel Maldonado MV

Confluentes Mathematici

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An Introduction to Mapping Class Groups of Surfaces

Vidit Das

2019

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Rigid actions of mapping class groups

Athanase Papadopoulos

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Rank-1 phenomena for mapping class groups

Alexander Lubotzky

Duke Mathematical Journal, 2001

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Conjugacy classes of big mapping class groups

manuel sedano

2021

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Subgroups of mapping class groups from the geometrical viewpoint

Christopher Leininger

2000

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Roots in the mapping class groups

christian bonatti

Proceedings of the London Mathematical Society, 2008

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Determination of the homotopy classes of maps on surfaces of genus g with infinitely many periodic points

Jörg Kampen

2021

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Homomorphisms into mapping class groups. An addendum

Mark Sapir

2010

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Actions of mapping class groups

Athanase Papadopoulos

arXiv: Geometric Topology, 2013

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A computation of the action of the mapping class group on isotopy classes of curves and arcs in surfaces

Robert Penner

1982

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On the Residual Finiteness of Certain Mapping Class Groups

edna grossman

Journal of the London Mathematical Society, 1974

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Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das)

Jean Fasel

Journal of the European Mathematical Society, 2021

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A cofinite universal space for proper actions for mapping class groups

Scott Wolpert

Contemporary Mathematics, 2010

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Stability for closed surfaces in a background space

Ralph Cohen

Homology, Homotopy and Applications, 2011

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Singularities and stable homotopy groups of spheres. II

Andras Szucs

Journal of Singularities

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On power subgroups of mapping class groups

Louis Funar

HAL (Le Centre pour la Communication Scientifique Directe), 2014

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Euler class groups and motivic stable cohomotopy

Aravind Asok

arXiv (Cornell University), 2016

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Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group

Genevieve Walsh

arXiv (Cornell University), 2021

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Determiniation of the homotopy class of maps on compact orientable surfaces of positive genus g with infinitely many periodic points (part I)

Jörg Kampen

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Algebraic K-Theory of Mapping Class Groups

Qin Lu, Ethan Berkove

K-Theory, 2000

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4 Homological Stability and Stable Moduli of Flat Manifold Bundles

Sam Nariman

2016

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Homological stability for moduli spaces of high dimensional manifolds

Søren Galatius

2012

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