Last modified date: <%+ tp.file.last_modified_date() %>
- Tags
- Refs:
-
Links:
- Morava K theory
- Thom spectra
- MO
- homotopy equivalent manifolds are cobordant
- Stiefel-Whitney
Thom space
Formed by by collapsing the complement of the normal bundle?
Thought of as a twisted suspension, since for a trivial bundle \(B\times{\mathbf{R}}^n \xrightarrow{p} B\) we have \(\mathop{\mathrm{Th}}(p) = {\Sigma}^n B_+\).
Coboridsm classes \(\Omega_*\) as stable homotopy groups of \({\operatorname{MO}}\):
The Pontrayagin-Thom construction
Thom spectra
Can also construct \(\mathop{\mathrm{Th}}(p)\) by applying a fiberwise one-point compactification on \(E\) and identifying all the added points to a single basepoint.
Relation to topological K theory: 
Orientations
See complex oriented cohomology theory.
Can view as a twisted suspension spectrum?
The Thom Diagonal
Product formula
Relates to smash product: 
Thom isomorphism theorem
Relation to Euler class
Cofiber sequence
Examples
