28 мар. 2013 г. · The bordism relation splits manifolds into equivalence classes (see the Figure), which are called bordism classes. Transitivity of the bordism ... Unoriented bordism · Oriented and complex bordism

Cobordisms are central objects of study in geometric topology and algebraic topology. In geometric topology, cobordisms are intimately connected with Morse ...

26 мар. 2023 г. · The bordism classes of singular manifolds in a space X form the n-dimensional bordism group Nn(X) of this space (the group operation is ...

There are two types of bordism groups: bordism groups, also called cobordism groups or cobordism rings, and there are singular bordism groups.

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

30 авг. 2012 г. · We will also study bordism invariants. These are homomorphisms out of a bordism group or category into an abstract group or category. Such ...

12 окт. 2022 г. · Atiyah's geometric model for bordism homology groups defines them as equivalence classes of maps of manifolds.

7 мар. 2020 г. · A simple example is ΩSO1(BZ/3), the bordism group of oriented 1-manifolds with a principal Z/3-bundle. A circle with a nontrivial principal Z/3- ... Oriented bordism in higher dimensions (e.g. 12≤d≤28) at.algebraic topology - Oriented Bordism Group and Un ... Spin bordism group of classifying space $BG$ with a finite ... string bordism group and framed bordism group for $d \leq 6 ... Другие результаты с сайта mathoverflow.net

The disjoint sum induces on it an Abelian group structure. We shall call this group the k-dimensional oriented bordism group of X with coefficients in a. If ...

SU-bordism is the bordism theory of smooth manifolds with a special unitary structure in the stable tangent bundle. Geometrically, an SU-structure on a manifold ...