An Introduction to Weinstein Handlebodies for Complements of Smoothed Toric Divisors

Bahar Acu, Orsola Capovilla-Searle, Agnès Gadbled, Aleksandra Marinković, Emmy Murphy, Laura Starkston, Angela Wu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this article, we provide an introduction to an algorithm for constructing Weinstein handlebodies for complements of certain smoothed toric divisors using explicit coordinates and a simple example. This article also serves to welcome newcomers to Weinstein handlebody diagrams and Weinstein Kirby calculus. Finally, we include several complicated examples at the end of the article to showcase the algorithm and the types of Weinstein Kirby diagrams it produces.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer Science and Business Media Deutschland GmbH
Pages217-243
Number of pages27
DOIs
StatePublished - 2021
Externally publishedYes

Publication series

NameAssociation for Women in Mathematics Series
Volume27
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

All Science Journal Classification (ASJC) codes

  • Gender Studies
  • Mathematics(all)

Keywords

  • Handle attachments
  • Handlebody decompositions
  • Kirby diagrams
  • Toric divisiors
  • Weinstein domains

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