English

Generalized connected sum formula for the Arnold invariants of generic plane curves

Geometric Topology 2019-02-04 v2

Abstract

We define the generalized connected sum for generic closed plane curves, generalizing the strange sum defined by Arnold, and completely describe how the Arnold invariants J±J^{\pm} and St\mathit{St} behave under the generalized connected sums.

Keywords

Cite

@article{arxiv.1703.09489,
  title  = {Generalized connected sum formula for the Arnold invariants of generic plane curves},
  author = {Keiichi Sakai and Ryutaro Sugiyama},
  journal= {arXiv preprint arXiv:1703.09489},
  year   = {2019}
}

Comments

22 pages, many figures