Journal article icon

Journal article

Categorified trace for module tensor categories over braided tensor categories

Abstract:

Given a braided pivotal category C and a pivotal module tensor categoryM, we define a functor TrC :M→ C, called the associated categorified trace. By a result of Bezrukavnikov, Finkelberg and Ostrik, the functor TrC comes equipped with natural isomorphisms τx,y : TrC(x⊗ y) → TrC(y ⊗x), which we call the traciators. This situation lends itself to a diagramatic calculus of ‘strings on cylinders’, where the traciator corresponds to wrapping a string around the back of a cylinder. We show that Tr...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Division:
Maths, Physical & Life Sciences
Department:
Mathematical Institute
Penneys, D More by this author
More from this funder
Funding agency for:
Henriques, A
Publisher:
Deutsche Mathematiker Vereinigung Publisher's website
Journal:
Documenta Mathematica Journal website
Volume:
21
Issue:
2016
Pages:
1089-1149
Publication date:
2016-09-01
Acceptance date:
2016-07-14
EISSN:
1431-0643
ISSN:
1431-0635
Pubs id:
pubs:668306
URN:
uri:cfa1db81-ea27-4dba-909d-e881e6c10690
UUID:
uuid:cfa1db81-ea27-4dba-909d-e881e6c10690
Local pid:
pubs:668306
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP