Hopf diagrams and quantum invariants

Mathematics – Quantum Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-68.abs.html

Scientific paper

The Reshetikhin-Turaev invariant, Turaev's TQFT, and many related constructions rely on the encoding of certain tangles (n-string links, or ribbon n-handles) as n-forms on the coend of a ribbon category. We introduce the monoidal category of Hopf diagrams, and describe a universal encoding of ribbon string links as Hopf diagrams. This universal encoding is an injective monoidal functor and admits a straightforward monoidal retraction. Any Hopf diagram with n legs yields a n-form on the coend of a ribbon category in a completely explicit way. Thus computing a quantum invariant of a 3-manifold reduces to the purely formal computation of the associated Hopf diagram, followed by the evaluation of this diagram in a given category (using in particular the so-called Kirby elements).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Hopf diagrams and quantum invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hopf diagrams and quantum invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf diagrams and quantum invariants will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-489085

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.