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Results tagged with cobordism
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user 2039
Cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold.
14
votes
Accepted
Does $\mathfrak{N}_4$ contain at least four distinct elements?
Let's give a characteristic class proof that they are all different in $\mathfrak{N}_4$:
As Tsemo Aristide mentioned, Stiefel-Whitney numbers are cobordism invariants. …
- 12.1k
16
votes
2
answers
744
views
String Orientation and Level Structures
Atiyah, Bott and Shapiro defined orientations of real and complex K-theory that were later refined to maps of ($E_\infty$-ring) spectra
$$MSpin \to KO$$
and
$$MSpin^c \to KU.$$
Likewise, but more co …
- 12.1k