Contact open books and symplectic lefschetz fibrations (survey)

Bahar Acu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This note surveys two fundamental tools that unlock several topological properties of contact and symplectic manifolds; open book decompositions and Lefschetz fibrations. In particular, we will focus on planar contact manifolds, those that correspond to an open book decomposition with genus zero pages, and provide some fundamental results concerning planar open book decompositions and planar Lefschetz fibrations. We also introduce a higher-dimensional notion of planarity, iterated planarity as in [2], and present an exposition of generalizations of some of those results to higher dimensions.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer
Pages273-285
Number of pages13
DOIs
StatePublished - 2020

Publication series

NameAssociation for Women in Mathematics Series
Volume21
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

ASJC Scopus subject areas

  • Mathematics(all)
  • Gender Studies

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