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An introduction to d-manifolds and derived differential geometry

Abstract:

This is a survey of the author's book "D-manifolds and d-orbifolds: a theory of derived differential geometry", available at http://people.maths.ox.ac.uk/~joyce/dmanifolds.html We introduce a 2-category dMan of "d-manifolds", new geometric objects which are 'derived' smooth manifolds, in the sense of the 'derived algebraic geometry' of Toen and Lurie. They are a 2-category truncation of the 'derived manifolds' of Spivak (see arXiv:0810.5174, arXiv:1212.1153). The category of manifolds Man e...

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Publication date:
2012-06-19
URN:
uuid:97a7add9-abc9-41c6-a09b-b3ac1b08d38c
Source identifiers:
340084
Local pid:
pubs:340084
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