Simply connected sasaki-einstein rational homology 5-spheres

JIHUN PARK; JOONYEONG WON

doi:10.1215/00127094-2020-0085

Simply connected sasaki-einstein rational homology 5-spheres

JIHUN PARK, JOONYEONG WON

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

9 Scopus citations

Abstract

We completely determine which simply connected rational homology 5-spheres admit Sasaki-Einstein metrics.

Original language	English
Pages (from-to)	1085-1112
Number of pages	28
Journal	Duke Mathematical Journal
Volume	170
Issue number	6
DOIs	https://doi.org/10.1215/00127094-2020-0085
State	Published - 1 Apr 2021
Externally published	Yes

Bibliographical note

Funding Information:
Park’s work was supported by Institute for Basic Science (Korea) grant IBS-R003-D1. Won’s work was partially supported by National Research Foundation (Korea) grant NRF-2020R1A2C1A01008018 and by Korea Institute for Advanced Study (KIAS) Individual Grant SP037003 via the Center for Mathematical Challenges at KIAS.

Publisher Copyright:
© 2021 Duke University Press. All rights reserved.

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10.1215/00127094-2020-0085

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title = "Simply connected sasaki-einstein rational homology 5-spheres",

abstract = "We completely determine which simply connected rational homology 5-spheres admit Sasaki-Einstein metrics.",

author = "JIHUN PARK and JOONYEONG WON",

note = "Funding Information: Park{\textquoteright}s work was supported by Institute for Basic Science (Korea) grant IBS-R003-D1. Won{\textquoteright}s work was partially supported by National Research Foundation (Korea) grant NRF-2020R1A2C1A01008018 and by Korea Institute for Advanced Study (KIAS) Individual Grant SP037003 via the Center for Mathematical Challenges at KIAS. Publisher Copyright: {\textcopyright} 2021 Duke University Press. All rights reserved.",

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doi = "10.1215/00127094-2020-0085",

language = "English",

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AU - WON, JOONYEONG

N1 - Funding Information: Park’s work was supported by Institute for Basic Science (Korea) grant IBS-R003-D1. Won’s work was partially supported by National Research Foundation (Korea) grant NRF-2020R1A2C1A01008018 and by Korea Institute for Advanced Study (KIAS) Individual Grant SP037003 via the Center for Mathematical Challenges at KIAS. Publisher Copyright: © 2021 Duke University Press. All rights reserved.

PY - 2021/4/1

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N2 - We completely determine which simply connected rational homology 5-spheres admit Sasaki-Einstein metrics.

AB - We completely determine which simply connected rational homology 5-spheres admit Sasaki-Einstein metrics.

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DO - 10.1215/00127094-2020-0085

M3 - Article

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SP - 1085

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JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

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Simply connected sasaki-einstein rational homology 5-spheres

Abstract

Bibliographical note

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