Riemannian Topology and Geometric Structures on Manifolds

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. TOC:Preface.- Charles P. Boyer-An Autobiographical Sketch.-Charles P. Boyer-List of Publications.- Jeff Cheeger and Xianzhe Dai L2-cohomology of non-isolated conical singularities and non-multiplicativity of the signature.- Paul Gauduchon Hirzebruch surfaces and weighted projective planes.- Nigel Hitchin Quaternionic Kähler moduli spaces.- Ludmil Katzarkov Homological mirror symmetry and Weyl tori.- János Kollár Positive Sasakian structures on 5-manifolds.- Claude LeBrun Four-manifolds, curvature bounds, and convex geometry.- Phillipe Rukimbira The 1-nullity of Sasakian manifolds.- James Sparks New results in Sasaki-Einstein geometry.- Craig Van Coevering Some examples of toric Sasaki-Einstein manifolds.- Wolfgang Ziller On the geometry of cohomogeneity one manifolds with positive curvature.- Charles P. Boyer, Krzysztof Galicki and Santiago R. Simanca The Sasaki cone and extremal Sasakian metrics.- Index.