Spherical functors

Details Spherical functors Spherical functors

2007-11-28

arxiv.org/abs/0711.4409v5

Mathematics

Category Theory

A new section was added, proving a structure theorem about weak tangle representations by strongly spherical functors

Scientific paper

In this paper we describe some examples of so called spherical functors
between triangulated categories, which generalize the notion of a spherical
object. We also give sufficient conditions for a collection of spherical
functors to yield a weak representation of the category of tangles, and prove a
structure theorem for such representations under certain restrictions.

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