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Higher gauge theory

- J. Baez, U. Schreiber
- Mathematics
- 29 November 2005

Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (e.g. strings)… Expand

From loop groups to 2-groups

- J. Baez, Alissa S. Crans, D. Stevenson, U. Schreiber
- Mathematics, Physics
- 7 April 2005

We describe an interesting relation between Lie 2-algebras, the Kac– Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where… Expand

Higher Gauge Theory: 2-Connections on 2-Bundles

- J. Baez, U. Schreiber
- Physics
- 30 December 2004

Connections and curvings on gerbes are beginning to play a vital role in differential geometry and mathematical physics -- first abelian gerbes, and more recently nonabelian gerbes. These concepts… Expand

Differential cohomology in a cohesive infinity-topos

- U. Schreiber
- Physics, Mathematics
- 29 October 2013

We formulate differential cohomology and Chern-Weil theory -- the theory of connections on fiber bundles and of gauge fields -- abstractly in the context of a certain class of higher toposes that we… Expand

Parallel Transport and Functors

- U. Schreiber, K. Waldorf
- Mathematics
- 3 May 2007

Parallel transport of a connection in a smooth fibre bundle yields a functor from the path groupoid of the base manifold into a category that describes the fibres of the bundle. We characterize… Expand

Connections on non-abelian Gerbes and their Holonomy

- U. Schreiber, K. Waldorf
- Mathematics, Computer Science
- 14 August 2008

We introduce an axiomatic framework for the parallel transport of connections on gerbes. It incorporates parallel transport along curves and along surfaces, and is formulated in terms of gluing… Expand

L ∞ -Algebra Connections and Applications to String- and Chern-Simons n-Transport

- H. Sati, U. Schreiber, J. Stasheff
- Mathematics, Physics
- 23 January 2008

We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L ∞-algebras and use it to study the obstruction theory of lifts through higher String-like extensions of… Expand

Differential twisted String and Fivebrane structures

- H. Sati, U. Schreiber, J. Stasheff
- Physics
- 21 October 2009

A Higher Stacky Perspective on Chern–Simons Theory

- D. Fiorenza, H. Sati, U. Schreiber
- Physics, Mathematics
- 11 January 2013

The first part of this text is a gentle exposition of some basic constructions and results in the extended prequantum theory of Chern–Simons-type gauge field theories. We explain in some detail how… Expand

Smooth functors vs. differential forms

- U. Schreiber, K. Waldorf
- Mathematics
- 5 February 2008

We establish a relation between smooth 2-functors defined on the path 2-groupoid of a smooth manifold and differential forms on this manifold. This relation can be understood as a part of a… Expand

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