Riemannian topology and geometric structures on manifolds : [proceedings of the Conference on Riemannian Topology and Geometric Structures on Manifolds in Honor of Charles P. Boyer's 65th Birthday, October 10-14, 2006, the University of New Mexico, Albuqu

__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. 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 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, Kahler 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.--jacket. Krzysztof Galicki, Santiago Simanca, Editors. Revised Conference Papers. Includes Bibliographical References. ""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, Kahler 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. The contributors include: C.P. Boyer, J. Cheeger, X. Dai, K. Galicki