English

Biquasile Colorings of Oriented Surface-Links

Geometric Topology 2018-01-11 v2 Quantum Algebra

Abstract

We introduce colorings of oriented surface-links by biquasiles using marked graph diagrams. We use these colorings to define counting invariants and Boltzmann enhancements of the biquasile counting invariants for oriented surface-links. We provide examples to show that the invariants can distinguish both closed surface-links and cobordisms and are sensitive to orientation.

Keywords

Cite

@article{arxiv.1707.01148,
  title  = {Biquasile Colorings of Oriented Surface-Links},
  author = {Jieon Kim and Sam Nelson},
  journal= {arXiv preprint arXiv:1707.01148},
  year   = {2018}
}

Comments

12 pages.To appear in Topology and its Applications