Surveys in Differential Geometry

Volume 15 (2010)

Perspectives in mathematics and physics

Essays dedicated to Isadore Singer’s 85th birthday

Editors: Mrowka; Yau

Contents

A shifted view of fundamental physics

Michael Atiyah and Gregory W. Moore

pp. 1-16

Subgroups of depth three

Sebastian Burciu and Lars Kadison

pp. 17-36

Yukawa couplings in F-theory and non-commutative geometry

Sergio Cecotti and Miranda C. N. Cheng

pp. 37-98

Spin structures and superstrings

Jacques Distler, Daniel S. Freed, and Gregory W. Moore

pp. 99-130

Operator traces and holography

Michael R. Douglas

pp. 131-162

A loop of SU(2) gauge fields stable under the Yang-Mills flow

Daniel Friedan

pp. 163-236

Automorphisms of graded super symplectic manifolds

Joshua Leslie

pp. 237-254

The signature of the Seiberg-Witten surface

Andreas Malmendier

pp. 255-278

Eta forms and the odd pseudodifferential families index

Richard Melrose and Frédéric Rochon

pp. 279-322

Anomaly constraints and string/F-theory geometry in 6D quantum gravity

Washington Taylor

pp. 323-344

A new look at the path integral of quantum mechanics

Edward Witten

pp. 345-420

Quasi-local mass in general relativity

Shing-Tung Yau

pp. 421-434