Biquasile Colorings of Oriented Surface-Links

Jieon Kim, Sam Nelson

Published 2017-07-04Version 1

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.