26 июл. 2016 г. · Tomorrow we're going to talk more about unoriented cobordism, but today we're going to talk instead about framed cobordism. Definition 1.1. A ...

16 июл. 2014 г. · One notion of framed cobordism is that Ωnfr(X) is a certain equivalence class of n-manifolds Mn in X with a trivialization of the normal bundle ... On framed cobordism - homotopy theory - Math Stack Exchange Transverse intersection is a well-defined operation on ... Другие результаты с сайта math.stackexchange.com

16 июл. 2024 г. · A framing of a manifold is a choice of trivialization of its tangent bundle, hence a choice of section of the corresponding frame bundle.

In general, a closed manifold need not be a boundary: cobordism theory is the study of the difference between all closed manifolds and those that are boundaries ...

With ~(x) = (~, (x),..., Tm-n(x)), the pair (N, v) is called a framed submanifold of M. there is. Framed submanifolds (N, v) and (N', v') are framed cobordant ...

8 июл. 2011 г. · The framed bordism groups \Omega_n^{fr} of manifolds with a framing of the stable normal bundle (or equivalently the stable tangent bundle) are isomorphic to ...

22 авг. 2022 г. · The present paper provides a down-to-earth approach to transversality theory which only assumes basic knowledge about smooth manifolds.

31 мар. 2015 г. · The Pontryagin-Thom construction shows that the stable homotopy groups of spheres are the same as the groups of stably framed manifolds up to ... Stably-framed cobordism (∞,n)-category - MathOverflow Connected representant of a framed cobordism class ... Embedded (framed) cobordisms - MathOverflow From the perspective of bordism categories, where does the ... Другие результаты с сайта mathoverflow.net

The present paper provides a down-to-earth approach to transversality theory which only assumes basic knowledge about smooth manifolds.

framed cobordism of framed maps is introduced. Here, however, we are forced to use the reals R instead of the unit interval I and drop, for manifolds with ...