On constructions of generalized skein modules

• Autorzy: Uwe Kaiser
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M25: Knots and links in S 3
• 57M35: Dehn's lemma, sphere theorem, loop theorem, asphericity
• 57R42: Immersions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 100
• Numer: 1
• Strony: 153-172

Daty

wydano

2014

Twórcy

autor

Uwe Kaiser

• Boise State University, Department of Mathematics, 1910 University Drive, Math/Geosciences Bldg., Boise, ID 83725-1555, USA

Identyfikatory

DOI

10.4064/bc100-0-8