@inbook{8c5e1c4f45bf42fb84523e3badc26f04,
title = "An Introduction to Weinstein Handlebodies for Complements of Smoothed Toric Divisors",
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.",
keywords = "Handle attachments, Handlebody decompositions, Kirby diagrams, Toric divisiors, Weinstein domains",
author = "Bahar Acu and Orsola Capovilla-Searle and Agn{\`e}s Gadbled and Aleksandra Marinkovi{\'c} and Emmy Murphy and Laura Starkston and Angela Wu",
note = "Funding Information: Acknowledgments This project was initiated at the 2019 Research Collaboration Conference for Women in Symplectic and Contact Geometry and Topology (WiSCon) that took place on July 22– 26, 2019 at ICERM. The authors would like to extend their gratitude to the WiSCon organizers and the hosting institution ICERM and their staff for their hospitality. The authors would like to thank Lenhard Ng for useful conversations. BA and AM would like to thank the Oberwolfach Research Institute for Mathematics for hosting them during the completion of this project. AG was partially supported by Wallenberg grant no. KAW 2016-0440 and the Fondation Math{\'e}matique Jacques Hadamard. AM is partially supported by Ministry of Education and Science of Republic of Serbia, project ON174034. LS is supported by NSF grant no. DMS 1904074. AW is supported by the Engineering and Physical Sciences Research Council [EP/L015234/1], the EPSRC Centre for Doctoral Training in Geometry and Number Theory (The London School of Geometry and Number Theory), University College London. OC-S is supported by NSF Graduate Research Fellowship under grant no. DGE-1644868. Publisher Copyright: {\textcopyright} 2021, The Author(s) and the Association for Women in Mathematics.",
year = "2021",
doi = "10.1007/978-3-030-80979-9_4",
language = "English (US)",
series = "Association for Women in Mathematics Series",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "217--243",
booktitle = "Association for Women in Mathematics Series",
address = "Germany",
}