Cornered skein lasagna theory
Geometric Topology
2025-12-08 v1 Algebraic Topology
Quantum Algebra
Abstract
We extend the skein lasagna theory of Morrison-Walker-Wedrich to 4-manifolds with corners and formulate gluing formulas for 4-manifolds with boundary and, more generally, with corners. As an application, we develop a categorical framework for a presentation of the skein lasagna module of trisected closed 4-manifolds. Further, we extend the theory to dimension two by introducing bicategories for closed oriented surfaces and proving a gluing formula for the categories associated with 3-manifolds with boundary.
Cite
@article{arxiv.2512.05861,
title = {Cornered skein lasagna theory},
author = {Sarah Blackwell and Vyacheslav Krushkal and Yangxiao Luo},
journal= {arXiv preprint arXiv:2512.05861},
year = {2025}
}
Comments
20 pages, 14 figures, comments welcome!