Complete Ricci-flat Kähler manifolds of infinite topological type

Michael T. Anderson; Peter B. Kronheimer; Claude LeBrun

doi:10.1007/BF01228345

Complete Ricci-flat Kähler manifolds of infinite topological type

Michael T. Anderson
, Peter B. Kronheimer
, Claude LeBrun

Mathematics

Stony Brook University
Institute for Advanced Studies
University of Oxford

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

54 Scopus citations

Abstract

We display an infinite dimensional family of complete Ricci-flat Kähler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.

Original language	English
Pages (from-to)	637-642
Number of pages	6
Journal	Communications in Mathematical Physics
Volume	125
Issue number	4
DOIs	https://doi.org/10.1007/BF01228345
State	Published - Dec 1989

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title = "Complete Ricci-flat K{\"a}hler manifolds of infinite topological type",

abstract = "We display an infinite dimensional family of complete Ricci-flat K{\"a}hler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.",

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year = "1989",

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AU - Kronheimer, Peter B.

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N2 - We display an infinite dimensional family of complete Ricci-flat Kähler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.

AB - We display an infinite dimensional family of complete Ricci-flat Kähler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.

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DO - 10.1007/BF01228345

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 4

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Complete Ricci-flat Kähler manifolds of infinite topological type

Abstract

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