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A mapping space for Gray-categories
 
 
Description:  It is well known that connections on a principal G-bundle over a manifold M can be represented by group homomorphisms LM-->G, where LM is the loop group
of M. Similarly, 2-connections can be seen as 2-functors from a 2-groupoid of points, paths and bigons in M to a 2-group G.
In passing to dimension 3, that is, considering tri-connections, 3-groupoids are too rigid, instead one needs to consider Gray-groupoids, their morphisms and transformations of higher dimension. We will describe a groupoid structure for certain functors between a pair of Gray-categories and certain transformations between them.
Date:  2011-01-25
Start Time:   16:30
Speaker:  Björn Gohla (U. Porto)
Institution:  Universidade do Porto
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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