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October 13, 2009

Path-Structured Smooth (∞,1)-Toposes

Posted by Urs Schreiber

It seems that this Friday I’ll give a talk to the group of Ieke Moerdijk, where I just started a new position (as I mentioned).

Over on the nnLab I am preparing some notes along which such a talk might proceed:

Path-Structured Smooth (,1)(\infty,1)-Toposes (wiki page)

Abstract. A smooth topos is a context in which (synthetic) differential geometry exists. An (,1)(\infty,1)-topos is a context in which higher groupoids exist. Merging these two concepts yields the notion of a smooth (,1)(\infty,1)-topos: a context in which \infty-Lie groupoids exist.

A lined topos is a context in which each space has a notion of path. A path-structured smooth (,1)(\infty,1)-topos is a context in which each \infty-Lie groupoid comes with its smooth path \infty-groupoid, naturally.

Path-structured and smooth (,1)(\infty,1)-toposes are the context in which gauge fields given by principal \infty-bundles with connection exist.

Posted at October 13, 2009 1:15 AM UTC

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4 Comments & 0 Trackbacks

Re: Path-Structured Smooth (∞,1)-Toposes

Ah, so you’re no longer in Bonn?

Posted by: Kevin Lin on October 13, 2009 4:49 PM | Permalink | Reply to this

whereabouts

Ah, so you’re no longer in Bonn?

Currently I am oscillating back and forth. Luckily there is a good train connection.

I did certainly miss your GW-seminar today, unfortunately. I should be available at the elliptic seminar tomorrow, though.

Posted by: Urs Schreiber on October 13, 2009 5:08 PM | Permalink | Reply to this

Re: whereabouts

GW-seminar

That's a bad link; I don't know what it should be.

Posted by: Toby Bartels on October 13, 2009 11:35 PM | Permalink | Reply to this

entries on Gromov-Witten invariants

That’s a bad link;

Thanks for catching that. Fixed now.

I don’t know what it should be.

It was supposed to and now does point to the nnCafé entry called A Seminar on Gromov-Witten Invariants – whose point is to attract contributors to the entry nnLab:Gromov-Witten invariants.

Posted by: Urs Schreiber on October 14, 2009 10:03 AM | Permalink | Reply to this

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