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Open CP1 descendent theory I: The stationary sector. / Buryak, Alexandr; Netser Zernik, Amitai; Pandharipande, Rahul et al.

In: Advances in Mathematics, Vol. 401, 108249, 04.06.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Buryak, A, Netser Zernik, A, Pandharipande, R & Tessler, RJ 2022, 'Open CP1 descendent theory I: The stationary sector', Advances in Mathematics, vol. 401, 108249. https://doi.org/10.1016/j.aim.2022.108249

APA

Buryak, A., Netser Zernik, A., Pandharipande, R., & Tessler, R. J. (2022). Open CP1 descendent theory I: The stationary sector. Advances in Mathematics, 401, [108249]. https://doi.org/10.1016/j.aim.2022.108249

Vancouver

Buryak A, Netser Zernik A, Pandharipande R, Tessler RJ. Open CP1 descendent theory I: The stationary sector. Advances in Mathematics. 2022 Jun 4;401:108249. doi: 10.1016/j.aim.2022.108249

Author

Buryak, Alexandr ; Netser Zernik, Amitai ; Pandharipande, Rahul et al. / Open CP1 descendent theory I: The stationary sector. In: Advances in Mathematics. 2022 ; Vol. 401.

BibTeX

@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.",

}

RIS

TY - JOUR

T1 - Open CP1 descendent theory I: The stationary sector

AU - Buryak, Alexandr

AU - Netser Zernik, Amitai

AU - Pandharipande, Rahul

AU - Tessler, Ran J.

N1 - 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 Rössler, the Walter Haefner Foundation , and the ETH Zürich 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: © 2022 Elsevier Inc.

PY - 2022/6/4

Y1 - 2022/6/4

N2 - 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.

AB - 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.

KW - Equivariant localization

KW - Open descendents

KW - Open Gromov Witten

KW - P

UR - http://www.scopus.com/inward/record.url?scp=85125456151&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2022.108249

DO - 10.1016/j.aim.2022.108249

M3 - Article

AN - SCOPUS:85125456151

VL - 401

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

M1 - 108249

ER -

ID: 35612622