Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasaki geometry, and their interrelation to mathematical physics, notably M and superstring theory. Focusing on these fundamental ideas, this collection presents articles with original results, and plausible problems of interest for future research.
Contributors: C.P. Boyer, J. Cheeger, X. Dai, K. Galicki, P. Gauduchon, N. Hitchin, L. Katzarkov, J. Kollár, C. LeBrun, P. Rukimbira, S.R. Simanca, J. Sparks, C. van Coevering, and W. Ziller.
Author(s): Jeff Cheeger, Xianzhe Dai (auth.), Krzysztof Galicki, Santiago R. Simanca (eds.)
Series: Progress in Mathematics 271
Edition: 1
Publisher: Birkhäuser Basel
Year: 2009
Language: English
Pages: 290
Tags: Geometry;Category Theory, Homological Algebra;Algebraic Geometry;Mathematical Methods in Physics
Front Matter....Pages i-xvii
L 2 -Cohomology of Spaces with Nonisolated Conical Singularities and Nonmultiplicativity of the Signature....Pages 1-24
Hirzebruch Surfaces and Weighted Projective Planes....Pages 25-48
Quaternionic Kähler Moduli Spaces....Pages 49-61
Homological Mirror Symmetry and Algebraic Cycles....Pages 63-92
Positive Sasakian Structures on 5-Manifolds....Pages 93-117
Four-Manifolds, Curvature Bounds, and Convex Geometry....Pages 119-152
The 1-Nullity of Sasakian Manifolds....Pages 153-159
New Results in Sasaki—Einstein Geometry....Pages 161-184
Some Examples of Toric Sasaki—Einstein Manifolds....Pages 185-232
On the Geometry of Cohomogeneity One Manifolds with Positive Curvature....Pages 233-262
The Sasaki Cone and Extremal Sasakian Metrics....Pages 263-290
