Arrangements and beyond: Combinatorics, geometry, topology and applications

Higher category extensions of holonomy maps for hyperplane arrangements

speaker: Toshitake Kohno (Graduate School of Mathematical Sciences, the University of Tokyo)

abstract: We explain a method to construct higher category extensions of holonomy representations of homotopy path groupoids based on Chen's formal homology connections. Applying this general method, we describe an explicit form of higher holonomy for homotopy path groupoids in the case of the complement of hyperplane arrangements. In particular, by means of a 2-functor from the path 2-groupoid of the configuration space, we construct representations of the 2-category of braid cobordisms.

timetable:
Fri 9 Jun, 15:30 - 16:10, Aula Dini
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