@article{3061fb06f09e4cd99192a6e85eb55651,
title = "MAKING COBORDISMS SYMPLECTIC",
abstract = "We establish an existence h-principle for symplectic cobordisms of dimension 2n>4 with concave overtwisted contact boundary.",
author = "Yakov Eliashberg and Emmy Murphy",
note = "Funding Information: Received by the editors May 18, 2015, and, in revised form, December 15, 2015, April 6, 2017, July 31, 2020, August 10, 2020, and September 10, 2021. 2020 Mathematics Subject Classification. Primary 53D05, 53D10, 53D35. The first author was partially supported by the NSF grants DMS-1505910 and DMS-1807270. Funding Information: The second author was partially supported by the NSF grant DMS-1906564. Funding Information: We thank Chris Wendl for providing some of the above references and Nikolai Mishachev for making several pictures. We are also grateful to the anonymous referees for constructive critical remarks and useful suggestions, and to Oleg Lazarev and Dylan Cant for the attentive reading of the manuscript. The authors are grateful to the following institutions for their support and hospitality: RIMS, Kyoto, and ITS ETH, Zurich (the first author), and IAS, Princeton (the second author). Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.",
year = "2023",
doi = "10.1090/jams/995",
language = "English (US)",
volume = "36",
pages = "1--29",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "1",
}