TY - JOUR
T1 - ADS 3-manifolds and Higgs bundles
AU - Alessandrini, Daniele
AU - Li, Qiongling
N1 - Publisher Copyright:
© 2017 Daniele Alessandrini and Qiongling Li.
PY - 2017
Y1 - 2017
N2 - In this paper we investigate the relationships between closed AdS 3-manifolds and Higgs bundles. We have a new way to construct AdS structures that allows us to see many of their properties explicitly, for example we can recover the very recent formula by Tholozan for their volume. We give natural foliations of the AdS structure with time-like geodesic circles and we use these circles to construct equivariant minimal immersions of the Poincaré disc into the Grassmannian of time-like 2-planes of R2,2.
AB - In this paper we investigate the relationships between closed AdS 3-manifolds and Higgs bundles. We have a new way to construct AdS structures that allows us to see many of their properties explicitly, for example we can recover the very recent formula by Tholozan for their volume. We give natural foliations of the AdS structure with time-like geodesic circles and we use these circles to construct equivariant minimal immersions of the Poincaré disc into the Grassmannian of time-like 2-planes of R2,2.
UR - http://www.scopus.com/inward/record.url?scp=85037591733&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85037591733&partnerID=8YFLogxK
U2 - 10.1090/proc/13586
DO - 10.1090/proc/13586
M3 - Article
AN - SCOPUS:85037591733
SN - 0002-9939
VL - 146
SP - 845
EP - 860
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -