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E2-CELLS AND MAPPING CLASS GROUPS

delete2019-06-17
delete11
PRE
AI
S
Søren Galatius *
A
Alexander Kupers
O
Oscar Randal‐Williams
DOI：10.1007/s10240-019-00107-8delete
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Abstract

Abstract

En 中文
We prove a new kind of stabilisation result, secondary homological stability, for the homology of mapping class groups of orientable surfaces with one boundary component. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of E2-algebras, which have no E2-cells below a certain vanishing line.
Keywords:
MODULI SPACE
HOMOLOGICAL STABILITY
SURFACE
COMPLEXES
RING
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Journal

P
Publications Mathematiques de l IHES
IF:
3.5
Papers:
133
Citations:
2.2K

Organization

U
University of Copenhagen
Scholars:
7.6W
Papers: 6.6W
Citations: 86
H
Harvard University
Scholars:
26.5W
Papers: 22.0W
Citations: 28.7W
U
University of Cambridge
Scholars:
7.7W
Papers: 7.1W
Citations: 13.7W
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