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Examples of Weinstein Domains in the Complement of Smoothed Total Toric Divisors

  • Aleksandra Marinković
Published/Copyright: August 4, 2023
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ABSTRACT

In [ACG+1] and [ACG+2], it is shown that a complement of a neighborhood of a partially smoothed total toric divisor of a closed toric symplectic 4-manifold is a Weinstein domain. In this article, we extend the family of Weinstein domains that can be realized as such complements by producing an infinite family of new examples.

2020 Mathematics Subject Classification: 53D05; 57K43

(Communicated by Tibor Macko)


Funding statement: This work was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia No. 451-03-68/2022-14/200104.

Acknowledgement

The author is very grateful to Orsola Capovilla-Searle, Agnes Godbled, Laura Starkston, and Angela Wu for many useful discussions.

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Received: 2022-05-11
Accepted: 2022-09-29
Published Online: 2023-08-04

© 2023 Mathematical Institute Slovak Academy of Sciences

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