Special Metrics and Group Actions in Geometry [Hardcover]

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 58, 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 Salamons 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.

1 Simplicial Toric Varieties as Leaf Spaces.- 2 Homotopy Properties of K?hler Orbifolds.- 3 Notes on Transformations in Integrable Geometry.- 4 Completeness of Projective Special K?hler and Quaternionic K?hler Manifolds.- 5 Hypertoric Manifolds and Hyperk?hler Moment Maps.- 6 Harmonic almost Hermitian Structures.- 7 Killing 2-Forms in Dimension 4.- 8 Twistors, Hyper-K?hler Manifolds, and Complex Moduli.- 9 Explicit Global Symplectic Coordinates on K?hler Manifolds.- 10 Instantons and Special Geometry.- 11 Hermitian Metrics on Compact Complex Manifolds and their Deformation Limits.- 12 On The Cohomology of Some Exceptional Symmetric Spaces.- 13 Manifolds with Exceptional Holonomy.

Prof. Simon Chiossi?is a lecturer at Universidade Federal Fluminense, and previously held posts in Odense, Berlin, Torino, Marburg and Salvador. He was awarded a PhD in mathematics from the University of Genoa in 2003, and his scholarly publications focusl£é