z-logo
open-access-imgOpen Access
The Yang-Mills measure in the Kauffman bracket skein module
Author(s) -
Doug Bullock,
Charles Frohman,
Joanna Kania-Bartoszyńska
Publication year - 2003
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.1007/s000140300000
Subject(s) - skein , bracket polynomial , mathematics , diffeomorphism , trace (psycholinguistics) , symplectic geometry , measure (data warehouse) , pure mathematics , bracket , sigma , invariant (physics) , root of unity , algebra over a field , mathematical analysis , polynomial , mathematical physics , physics , quantum , mechanical engineering , alternating polynomial , matrix polynomial , database , computer science , engineering , linguistics , philosophy , quantum mechanics
For each closed, orientable surface F, we construct a local, diffeomorphisminvariant trace on the Kauffman bracket skein module K_t(F x [0,1]). The traceis defined when |t| is neither 0 nor 1, and at certain roots of unity. At t = -1, the trace is integration against the symplectic measure on the SU(2)character variety of the fundamental group of F.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom