Special Metrics and Group Actions in Geometry

Description

The volume is a follow-up to the INdAM meeting “Special metrics and quaternionic geometry” held in Rome in November 2015. It offers a panoramic view of a selection of cutting-edge topics in differential geometry, including 4-manifolds, quaternionic and octonionic geometry, twistor spaces, harmonic maps, spinors, complex and conformal geometry, homogeneous spaces and nilmanifolds, special geometries in dimensions 5–8, gauge theory, symplectic and toric manifolds, exceptional holonomy and integrable systems. The workshop was held in honor of Simon Salamon, a leading international scholar at the forefront of academic research who has made significant contributions to all these subjects. The articles published here represent a compelling testimony to Salamon’s profound and longstanding impact on the mathematical community. Target readership includes graduate students and researchers working in Riemannian and complex geometry, Lie theory and mathematical physics. Front Matter ....Pages i-x Simplicial Toric Varieties as Leaf Spaces (Fiammetta Battaglia, Dan Zaffran)....Pages 1-21 Homotopic Properties of Kähler Orbifolds (Giovanni Bazzoni, Indranil Biswas, Marisa Fernández, Vicente Muñoz, Aleksy Tralle)....Pages 23-57 Notes on Transformations in Integrable Geometry (Fran Burstall)....Pages 59-80 Completeness of Projective Special Kähler and Quaternionic Kähler Manifolds (Vicente Cortés, Malte Dyckmanns, Stefan Suhr)....Pages 81-106 Hypertoric Manifolds and HyperKähler Moment Maps (Andrew Dancer, Andrew Swann)....Pages 107-127 Harmonic Almost Hermitian Structures (Johann Davidov)....Pages 129-159 Killing 2-Forms in Dimension 4 (Paul Gauduchon, Andrei Moroianu)....Pages 161-205 Twistors, Hyper-Kähler Manifolds, and Complex Moduli (Claude LeBrun)....Pages 207-214 Explicit Global Symplectic Coordinates on Kähler Manifolds (Andrea Loi, Fabio Zuddas)....Pages 215-239 Instantons and Special Geometry (Jason D. Lotay, Thomas Bruun Madsen)....Pages 241-267 Hermitian Metrics on Compact Complex Manifolds and Their Deformation Limits (Antonio Otal, Luis Ugarte, Raquel Villacampa)....Pages 269-290 On the Cohomology of Some Exceptional Symmetric Spaces (Paolo Piccinni)....Pages 291-305 Manifolds with Exceptional Holonomy (Simon Salamon)....Pages 307-338