Embeddings of Surfaces into 3-Space and Quadruple Points of Regular Homotopies

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let F be a closed orientable surface. We give an explicit formula for the number mod 2 of quadruple points occurring in any generic regular homotopy between any two regularly homotopic embeddings e,e':F -> R^3. The formula is in terms of homological data extracted from the two embeddings.
11 pages, 2 figures

Keywords

Geometric Topology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79376

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911066
 http://arxiv.org/abs/math/9911066

Collections

arXiv