Modification rule of monodromies in an R2-move

研究成果: Article査読

3 被引用数 (Scopus)

抄録

An R2-move is a homotopy of wrinkled fibrations which deforms images of indefinite fold singularities like the Reidemeister move of type II. Variants of this move are contained in several important deformations of wrinkled fibrations. In this paper, we first investigate how monodromies are changed by this move. For a given fibration and its vanishing cycles, we then give an algorithm to obtain vanishing cycles in a single reference fiber of a fibration obtained by flip and slip, which is a sequence of homotopies increasing fiber genera. As an application of this algorithm, we give several examples of diagrams which were introduced by Williams to describe smooth 4-manifolds by a finite sequence of simple closed curves in a closed surface.

本文言語English
ページ(範囲)2181-2222
ページ数42
ジャーナルAlgebraic and Geometric Topology
14
4
DOI
出版ステータスPublished - 2014 8月 28
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

フィンガープリント

「Modification rule of monodromies in an R2-move」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル