TY - JOUR
T1 - On Constructions of Generalized Skein Modules
AU - Kaiser, Uwe
N1 - Kaiser, Uwe. (2014). "On Constructions of Generalized Skein Modules". Banach Center Publications, 100, 153-172. https://doi.org/10.4064/bc100-0-8
PY - 2014/1/1
Y1 - 2014/1/1
N2 - Jozef 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.
AB - Jozef 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.
KW - generalized skein module
KW - topological quantum field theory
UR - https://scholarworks.boisestate.edu/math_facpubs/153
M3 - Article
JO - Banach Center Publications
JF - Banach Center Publications
ER -