English

Critical Heegaard surfaces obtained by self-amalgamation

Geometric Topology 2013-04-16 v2

Abstract

Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper we give a sufficient condition and a necessary condition for self-amalgamated Heegaard surfaces to be critical.

Cite

@article{arxiv.1301.5372,
  title  = {Critical Heegaard surfaces obtained by self-amalgamation},
  author = {Qiang E and Fengchun Lei},
  journal= {arXiv preprint arXiv:1301.5372},
  year   = {2013}
}

Comments

7 pages,1 figure. arXiv admin note: text overlap with arXiv:1109.3862 by other authors

R2 v1 2026-06-21T23:13:53.303Z