English

Rational tangle surgery and Xer recombination on catenanes

Geometric Topology 2016-01-20 v1

Abstract

The protein recombinase can change the knot type of circular DNA. The action of a recombinase converting one knot into another knot is normally mathematically modeled by band surgery. Band surgeries on a 2-bridge knot N((4mn-1)/(2m)) yielding a (2,2k)-torus link are characterized. We apply this and other rational tangle surgery results to analyze Xer recombination on DNA catenanes using the tangle model for protein-bound DNA.

Keywords

Cite

@article{arxiv.1108.0724,
  title  = {Rational tangle surgery and Xer recombination on catenanes},
  author = {Isabel K. Darcy and Kai Ishihara and Ram K. Medikonduri and Koya Shimokawa},
  journal= {arXiv preprint arXiv:1108.0724},
  year   = {2016}
}

Comments

20 pages, 23 figures