Braids, mapping class groups, and categorical delooping
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives rise to a group theoretic map φ: β2g → τ g,1 from the braid group to the mapping class group. We prove here that this map is trivial in homology with any trivial coefficients in degrees less than g/2...
Váldodahkkit: | Song, Y, Tillmann, U |
---|---|
Materiálatiipa: | Journal article |
Giella: | English |
Almmustuhtton: |
2007
|
Geahča maid
-
Delooping the Quillen map.
Dahkki: Tornehave, Jørgen
Almmustuhtton: (2018) -
On the homotopy of the stable mapping class group
Dahkki: Tillmann, U
Almmustuhtton: (1997) -
A splitting for the stable mapping class group
Dahkki: Tillmann, U
Almmustuhtton: (1999) -
Homology stability for symmetric diffeomorphism and mapping class groups
Dahkki: Tillmann, U
Almmustuhtton: (2015) -
Homology stability for symmetric diffeomorphism and mapping class groups
Dahkki: Tillmann, U
Almmustuhtton: (2015)