Models for $(\infty, n)$ -categories and the cobordism hypothesis

preprint2012arXivOpen access

In this paper we introduce the models for $(\infty, n)$ -categories which have been developed to date, as well as the comparisons between them that are known and conjectured. We review the role of $(\infty, n)$ -categories in the proof of the Cobordism Hypothesis.

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Models for $(\infty, n)$ -categories and the cobordism hypothesis

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Models for (∞,n)(\infty, n)(∞,n)-categories and the cobordism hypothesis

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Models for $(\infty, n)$ -categories and the cobordism hypothesis