Schroers, BJ;
Singer, MA;
(2021)
Dk Gravitational Instantons as Superpositions of Atiyah–Hitchin and Taub–NUT Geometries.
The Quarterly Journal of Mathematics
, 72
(1-2)
pp. 277-337.
10.1093/qmath/haab002.
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Abstract
We obtain Dk ALF gravitational instantons by a gluing construction which captures, in a precise and explicit fashion, their interpretation as nonlinear superpositions of the moduli space of centred SU(2) monopoles, equipped with the Atiyah–Hitchin metric, and k copies of the Taub–NUT manifold. The construction proceeds from a finite set of points in euclidean space, reflection symmetric about the origin, and depends on an adiabatic parameter which is incorporated into the geometry as a fifth dimension. Using a formulation in terms of hyperKähler triples on manifolds with boundaries, we show that the constituent Atiyah–Hitchin and Taub–NUT geometries arise as boundary components of the five-dimensional geometry as the adiabatic parameter is taken to zero.
| Type: | Article |
|---|---|
| Title: | Dk Gravitational Instantons as Superpositions of Atiyah–Hitchin and Taub–NUT Geometries |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/qmath/haab002 |
| Publisher version: | https://doi.org/10.1093/qmath/haab002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10134877 |
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