22 июл. 2019 г. · The oriented bordism groups \Omega_n^{SO} of closed oriented manifolds are isomorphic to the homotopy groups of the Thom spectrum MSO.

7 дек. 2021 г. · The classification of oriented compact smooth manifolds up to oriented cobordism is one of the landmarks of 20th century topology. The ... at.algebraic topology - Oriented Bordism Group and Un ... Bordism for oriented triangulable manifolds without smooth ... Другие результаты с сайта mathoverflow.net

3 июл. 2017 г. · The classification of oriented compact smooth manifolds up to oriented cobordism is one of the triumphs of 20th century topology.

8 июн. 2023 г. · This remarkable relation between manifolds and stable homotopy theory is known as cobordism theory (or “Thom theory”).

In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the ...

In mathematics, the oriented cobordism ring is a ring where elements are oriented cobordism classes of manifolds, the multiplication is given by the ...

We assume knowledge of these things. In the literature, oriented cobordism is the first difficult case. Unlike complex cobordism, oriented cobordism has torsion ...

22 мар. 2013 г. · Cobordism is an equivalence relation Mathworld Planetmath, and a very coarse invariant of manifolds. For example, all surfaces are cobordant to the empty set.

8 сент. 2016 г. · You're right that we have an exact sequence 0→Z→ΩSO4(X)→H4(X)→0. Here are a couple of ways we can show this sequence splits. Oriented Bordism Abelian Group structure proof Pontryagin-dual of the torsion subgroup of oriented bordism ... Axiomatizing oriented cobordism - Mathematics Stack Exchange Why are bordism groups of a point nontrivial Другие результаты с сайта math.stackexchange.com

The theory of complex (co)bordism is much richer than its unoriented analogue, and at the same time is not as complicated as oriented bordism or other bordism ...