@article{c4d097125d914bedbd1c2e90e99fe93b,
title = "Open CP1 descendent theory I: The stationary sector",
abstract = "We define stationary descendent integrals on the moduli space of stable maps from disks to (CP1,RP1). We prove a localization formula for the stationary theory involving contributions from the fixed points and from all the corner-strata. We use the localization formula to prove a recursion relation and a closed formula for all genus 0 disk cover invariants in the stationary case. For all higher genus invariants, we propose a conjectural formula.",
keywords = "Equivariant localization, Open descendents, Open Gromov Witten, P",
author = "Alexandr Buryak and {Netser Zernik}, Amitai and Rahul Pandharipande and Tessler, {Ran J.}",
note = "Funding Information: R. T. (incumbent of the Lillian and George Lyttle Career Development Chair) was supported by the ISF (grant No. 335/19 ), by a research grant from the Center for New Scientists of Weizmann Institute, by Dr. Max R{\"o}ssler, the Walter Haefner Foundation , and the ETH Z{\"u}rich Foundation , and partially by ERC-2012-AdG-320368-MCSK. Funding Information: The work of A. B. is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation . Funding Information: A. N. Z. was partially supported by NSF grant DMS-1638352 and ERC-2012-AdG-320368-MCSK . Funding Information: The work of A. B. is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation.A. N. Z. was partially supported by NSF grant DMS-1638352 and ERC-2012-AdG-320368-MCSK.R. P. was partially supported by SNF-200020-182181, SwissMAP, and the Einstein Stiftung. The project has received funding from the European Research Council (ERC) under the European Union Horizon 2020 research and innovation program (grant agreement No. 786580).R. T. (incumbent of the Lillian and George Lyttle Career Development Chair) was supported by the ISF (grant No. 335/19), by a research grant from the Center for New Scientists of Weizmann Institute, by Dr. Max R?ssler, the Walter Haefner Foundation, and the ETH Z?rich Foundation, and partially by ERC-2012-AdG-320368-MCSK. Funding Information: R. P. was partially supported by SNF-200020-182181, SwissMAP , and the Einstein Stiftung . The project has received funding from the European Research Council (ERC) under the European Union Horizon 2020 research and innovation program (grant agreement No. 786580 ). Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = jun,
day = "4",
doi = "10.1016/j.aim.2022.108249",
language = "English",
volume = "401",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}