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SUMMARY:New complete metrics with holonomy G_2 - Johannes Nordstrom\, Bath
DTSTART:20190220T160000Z
DTEND:20190220T170000Z
UID:TALK117145@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:I will discuss new constructions of complete Riemannian 7-mani
 folds with\nholonomy G_2 from joint work with Lorenzo Foscolo and Mark Has
 kins\n(arXiv:1709.04904 and arXiv:1805.0261). From circle bundles over\n3-
 dimensional Calabi-Yau cones we obtain infinitely many diffeomorphism\ntyp
 es of complete G_2-manifolds with "asymptotically locally conical" ends\,\
 nie the end is approximately a circle bundle with fibres of constant\ncirc
 umference over a Calabi-Yau cone. In the special case of circle bundles\no
 ver the Calabi metric on the total space of the canonical bundle of P1 x P
 1\, these metrics have cohomogeneity one\, making it possible to identify\
 nan asymptotically conical limit. This way we find also infinitely many\nt
 opologically distinct examples of asymptotically conical G_2-manifolds.\n
LOCATION:MR13
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