English

Gluing formulas for the $L^2$-Alexander torsions

Geometric Topology 2018-03-06 v2

Abstract

We prove a Torres-like formula for the L2L^2-Alexander torsions of links, as well as formulas for connected sums and cablings of links. Along the way we compute explicitly the L2L^2-Alexander torsions of torus links inside the three-sphere, the solid torus and the thickened torus.

Keywords

Cite

@article{arxiv.1603.00367,
  title  = {Gluing formulas for the $L^2$-Alexander torsions},
  author = {Fathi Ben Aribi},
  journal= {arXiv preprint arXiv:1603.00367},
  year   = {2018}
}

Comments

25 pages, 8 figures