cobordism love

# cobordism

## Definitions

### from Wiktionary, Creative Commons Attribution/Share-Alike License

• n. A connection between two manifolds of the same dimension n. via a manifold of dimension , where the smaller manifolds are included in the boundary of the larger manifold.
• n. The theory and study of such objects.

## Etymologies

Sorry, no etymologies found.

## Examples

• The basis of topological quantum field theories and spin foam models are in functors that relate these cobordism categories to categories of representations of quantum groups.

The String Theory Backlash

• This morning Jacob Lurie posted a draft of an expository paper on his work (with Mike Hopkins) classifying extended (infinity, n) - categorical topological field theories and their relation to the Baez-Dolan cobordism hypothesis.

Secret Blogging Seminar

• Any senior-year college student who is majoring in mathematics should be able to prove the was proved by Steve Smale in 1961 with his h-cobordism theorem, for which he won a was proved in 1981 by Michael Freedman with his theorem on Casson handles, for which he shared a Fields medal with Andrew Casson, who had pioneered study in this area.

Conservapedia - Recent changes [en]

• Unfortunately, the so-called "Whitney trick" which allowed the cobordism theorems of the late 20th century to produce such breakthroughs in topology is not possible in three dimensions, leaving Poincare's original formulation of the conjecture open.

Conservapedia - Recent changes [en]

• Freedman's theorem was essentially a strengthening of the results of Smale's cobordism theorem, obtained at the expense of weakening the premises.

Conservapedia - Recent changes [en]

• Any senior-year college student who is majoring in mathematics should be able to prove the was proved by Steve Smale in 1961 with his h-cobordism theorem, for which he won a was proved in 1981 by M. Freedman with his theorem on Casson handles, for which he shared a Fields medal with A Casson, who had pioneered study in this area.

Conservapedia - Recent changes [en]

• In cobordism theory, he gave his name to the Pontryagin-Thom construction.

The Reference Frame

• Pontryagin classes (related to Chern classes), Pontryagin spaces, Pontryagin duality, and study cobordism theory?

The Reference Frame

• n \geq 5 \ was proved by Steve Smale in 1961 with his h-cobordism theorem, for which he won a [[Fields Medal]].

Conservapedia - Recent changes [en]

• The page states that "the h-cobordism theorem actually demonstrates that a diffeomorphism exists for n >

Conservapedia - Recent changes [en]
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