English

Movie Moves for Knotted Surfaces with Markings

Geometric Topology 2018-01-04 v2

Abstract

We present a marked analogue of Carter and Saito's movie theorem. Our definition of marking was chosen to coincide with the markings that arise in link Floer homology. In order to deal with complications arising from certain isotopies, we define three equivalence relations for marked surfaces and work over an equivalence class of marked surfaces when providing our generalization of Carter and Saito's movie theorem.

Keywords

Cite

@article{arxiv.1407.4592,
  title  = {Movie Moves for Knotted Surfaces with Markings},
  author = {Matthew Graham},
  journal= {arXiv preprint arXiv:1407.4592},
  year   = {2018}
}

Comments

16 pages, 9 figures