Abstract
We show that relations in Homflypt type skein theory of an oriented 3-manifold M are induced from a 2-groupoid defined from the fundamental 2-groupoid of a space of singular links M . The module relations are defined by homomorphisms related to string topology. They appear from a representation of the groupoid into free modules on a set of model objects. The construction on the fundamental 2-groupoid is defined by the singularity stratification and relates Vassiliev and skein theory. Several explicit properties are discussed, and some implications for skein modules are derived.
Original language | American English |
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Journal | Mathematics Faculty Publications and Presentations |
State | Published - 1 Nov 2021 |
Keywords
- 2-category
- 3-manifold
- Vassiliev invariants
- skein modules
EGS Disciplines
- Mathematics