-
manifolds up to
cobordism.
Cobordisms are
central objects of
study in
geometric topology and
algebraic topology. In
geometric topology,
cobordisms are intimately...
-
follows from the theorem. Categorically, h-
cobordisms form a groupoid. Then a
finer statement of the s-
cobordism theorem is that the
isomorphism classes...
- In mathematics, the
oriented cobordism ring is a ring
where elements are
oriented cobordism classes of manifolds, the
multiplication is
given by the Cartesian...
- The
category of
cobordisms of
dimension n+1 is the
category with
objects the
closed manifolds of
dimension n, and
morphisms the
cobordisms between them (note...
- In mathematics, the
cobordism hypothesis, due to John C. Baez and
James Dolan,
concerns the
classification of
extended topological quantum field theories...
- In mathematics,
complex cobordism is a
generalized cohomology theory related to
cobordism of manifolds. Its
spectrum is
denoted by MU. It is an exceptionally...
- In mathematics,
algebraic cobordism is an
analogue of
complex cobordism for
smooth quasi-projective
schemes over a field. It was
introduced by Marc Levine...
- In mathematics, a
cobordism (W, M, M−) of an (n + 1)-dimensional
manifold (with boundary) W
between its
boundary components, two n-manifolds M and M−...
- derived.
Cobordism studies manifolds,
where a
manifold is
regarded as "trivial" if it is the
boundary of
another compact manifold. The
cobordism classes...
-
produces a new
manifold M′, but also a
cobordism W
between M and M′. The
trace of the
surgery is the
cobordism ( W ; M , M ′ ) {\displaystyle (W;M,M')}...
