On constructions of generalized skein modules

Uwe Kaiser. "On constructions of generalized skein modules." Banach Center Publications 100.1 (2014): 153-172. <http://eudml.org/doc/282268>.

@article{UweKaiser2014,
abstract = {Józef Przytycki introduced skein modules of 3-manifolds and skein deformation initiating algebraic topology based on knots. We discuss the generalized skein modules of Walker, defined by fields and local relations. Some results by Przytycki are proven in a more general setting of fields defined by decorated cell-complexes in manifolds. A construction of skein theory from embedded TQFT-functors is given, and the corresponding background is developed. The possible coloring of fields by elements of TQFT-modules is discussed for those generalized skein modules. Also an approach of defining skein modules from studying compressions of fields is described.},
author = {Uwe Kaiser},
journal = {Banach Center Publications},
keywords = {generalized skein module; topological quantum field theory},
language = {eng},
number = {1},
pages = {153-172},
title = {On constructions of generalized skein modules},
url = {http://eudml.org/doc/282268},
volume = {100},
year = {2014},
}

TY - JOUR
AU - Uwe Kaiser
TI - On constructions of generalized skein modules
JO - Banach Center Publications
PY - 2014
VL - 100
IS - 1
SP - 153
EP - 172
AB - Józef Przytycki introduced skein modules of 3-manifolds and skein deformation initiating algebraic topology based on knots. We discuss the generalized skein modules of Walker, defined by fields and local relations. Some results by Przytycki are proven in a more general setting of fields defined by decorated cell-complexes in manifolds. A construction of skein theory from embedded TQFT-functors is given, and the corresponding background is developed. The possible coloring of fields by elements of TQFT-modules is discussed for those generalized skein modules. Also an approach of defining skein modules from studying compressions of fields is described.
LA - eng
KW - generalized skein module; topological quantum field theory
UR - http://eudml.org/doc/282268
ER -