Homology stability for symmetric diffeomorphism and mapping class groups

Homology stability for symmetric diffeomorphism and mapping class groups

Show other versions (1)

For any smooth compact manifold W of dimension of at least two we prove that the classifying spaces of its group of diffeomorphisms which fix a set of k points or k embedded disks (up to permutation) satisfy homology stability. The same is true for so-called symmetric diffeomorphisms of W connected...

Fuld beskrivelse

Bibliografiske detaljer
Hovedforfatter:	Tillmann, U
Format:	Journal article
Udgivet:	Cambridge University Press 2015

Lignende værker

Homology stability for symmetric diffeomorphism and mapping class groups
af: Tillmann, U
Udgivet: (2015)

THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
af: Tillmann, U
Udgivet: (2010)

Configuration-mapping spaces and homology stability
af: Palmer, M, et al.
Udgivet: (2021)

Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
af: Li Chen, et al.
Udgivet: (2013-01-01)

The Comparison of Diffeomorphic Images Based on the Construction of Persistent Homology
af: Sergey N. Chukanov
Udgivet: (2019-09-01)

On the homotopy of the stable mapping class group
af: Tillmann, U
Udgivet: (1997)

On the group of Poisson diffeomorphisms of the torus
af: T. Rybicki
Udgivet: (1998-01-01)

Geodesic Equations on Diffeomorphism Groups
af: Cornelia Vizman
Udgivet: (2008-03-01)

Artin's map in stable homology
af: Tillmann, U
Udgivet: (2007)

Symmetric Diffeomorphic Image Registration with Multi-Label Segmentation Masks
af: Chenwei Cai, et al.
Udgivet: (2022-06-01)

A splitting for the stable mapping class group
af: Tillmann, U
Udgivet: (1999)

Loop groups and diffeomorphism groups of the circle as colimits
af: Henriques, A
Udgivet: (2019)

Matching of images based on their diffeomorphic mapping
af: Sergej Lejhter, et al.
Udgivet: (2018-02-01)

Topologically Stable Chain Recurrence Classes for Diffeomorphisms
af: Manseob Lee
Udgivet: (2020-11-01)

Braids, mapping class groups, and categorical delooping
af: Song, Y, et al.
Udgivet: (2007)

Explicit–implicit symmetric diffeomorphic deformable image registration with convolutional neural network
af: Longhao Li, et al.
Udgivet: (2024-11-01)

The stable mapping class group and Q (CP+infinity)
af: Madsen, I, et al.
Udgivet: (2001)

On groups of formal diffeomorphisms of several complex variables
af: Mitchael Martelo, et al.
Udgivet: (2012-12-01)

Variational quasi-harmonic maps for computing diffeomorphisms
af: Wang, Yu, et al.
Udgivet: (2023)

Naturality and mapping class groups in Heegaard Floer homology
af: Juhasz, A, et al.
Udgivet: (2021)

On the Farrell cohomology of the mapping class group of non-orientable surfaces
af: Hope, G, et al.
Udgivet: (2009)

Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
af: Dave Pandres
Udgivet: (2013-01-01)

The group of diffeomorphisms of a non-compact manifold is not regular
af: Magnot Jean-Pierre
Udgivet: (2018-03-01)

On the structure of certain nontransitive diffeomorphism groups on open manifolds
af: Agnieszka Kowalik, et al.
Udgivet: (2012-01-01)

On the perfectness of C^{∞,s}-diffeomorphism groups on a foliated manifold
af: Jacek Lech
Udgivet: (2008-01-01)

Diffeomorphisms with Shadowable Measures
af: Kazumine Moriyasu, et al.
Udgivet: (2018-12-01)

Realization of homotopy classes of torus homeomorphisms by the simplest structurally stable diffeomorphisms
af: Morozov Andrei I.
Udgivet: (2021-05-01)

The diffeomorphism group of a K3 surface and Nielsen realization
af: Giansiracusa, J
Udgivet: (2009)

ON THE GROUP OF DIFFEOMORPHISMS WHICH PRESERVE THE BALL VOLUME AND ARE IDENTIcal ON SPHERE
af: A. M. Lukatsky
Udgivet: (2016-12-01)

Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes
af: Daniel J. Tward, et al.
Udgivet: (2013-01-01)

Anisotropic, Mixed-Norm Lizorkin-Triebel Spaces and Diffeomorphic Maps
af: J. Johnsen, et al.
Udgivet: (2014-01-01)

Approximation of linearizable mappings of (C,0) through resonant diffeomorphisms
af: E. Todesco, et al.
Udgivet: (1997-01-01)

Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds
af: S. V. Ludkovsky, et al.
Udgivet: (2003-01-01)

Infinite loop spaces from operads with homological stability
af: Basterra, M, et al.
Udgivet: (2017)

Invariance of some classes of almost Hermitian structures concerning to the one-parameter group of diffeomorphisms generated by the Lie vector field
af: S.V. Khokhlov, et al.
Udgivet: (2022-11-01)

Canonical structures on anti-self-dual four-manifolds and the diffeomorphism group
af: Chakravarty, S, et al.
Udgivet: (1991)

Complexified diffeomorphism groups, totally real submanifolds and Kähler-Einstein geometry
af: Lotay, J, et al.
Udgivet: (2018)

The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
af: Marsden, J, et al.
Udgivet: (1999)

Geometry and curvature of diffeomorphism groups with $H^1$ metric and mean hydrodynamics
af: Shkoller, S
Udgivet: (1998)

Analysis on groups of diffeomorphisms of manifolds with boundary and the averaged motion of a fluid
af: Shkoller, S
Udgivet: (2000)