manifolds and cobordisms
cobordism theory, Introduction
Definitions
Genera and invariants
Classification
Theorems
The moduli space of framings on a given manifold .
The homotopy type of the connected component of any fixed framing is
where is the subgroup of the mapping class group of (for the given orientation) which fixes the isotopy class of the framing .
In particular this is a homotopy 1-type for every , and so the whole
is a homotopy 1-type.
(Randal-Williams 10, section 1.1, 2.2)
Oscar Randal-Williams, Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces (arXiv:1001.5366)
Daan Krammer, A Garside like structure on the framed mapping class group, 2007 (pdf)
Last revised on October 14, 2019 at 16:52:07. See the history of this page for a list of all contributions to it.