Extra-twisted connected sum G2-manifolds

Johannes Nordstrom

Extra-twisted connected sum G₂-manifolds

Department of Mathematical Sciences

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

Abstract

We present a construction of closed 7-manifolds of holonomy G₂, which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy G₂ metrics

Original language	English
Number of pages	65
Journal	Annals of Global Analysis and Geometry
Publication status	Acceptance date - 17 Feb 2023

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https://arxiv.org/abs/1809.09083v3Licence: Unspecified

Cite this

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title = "Extra-twisted connected sum G2-manifolds",

abstract = "We present a construction of closed 7-manifolds of holonomy G2, which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy G2 metrics",

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AB - We present a construction of closed 7-manifolds of holonomy G2, which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy G2 metrics

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JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

SN - 0232-704X

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Extra-twisted connected sum G2-manifolds

Abstract

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Extra-twisted connected sum G₂-manifolds