This has an analytic continuation to the whole s-plane as a meromorphic function of 5 and s = 0 is not a pole: moreover CA(o) can be computed as an explicit integral over the manifold [9]. In this… (More)

We analyze the dynamics of M -theory on a manifold of G2 holonomy that is developing a conical singularity. The known cases involve a cone on CP, where we argue that the dynamics involves restoration… (More)

Characteristic classes for the index of the Dirac family [unk](A) are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent… (More)

We show how a recently proposed large N duality in the context of type IIA strings with N = 1 supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA… (More)

In a previous paper [AS] we introduced the twisted K-theory of a space X , with the twisting corresponding to a 3-dimensional cohomology class of X. If the class is of finite order then the theory,… (More)

We study Einstein metrics on smooth compact 4-manifolds with an edge-cone singularity of specified cone angle along an embedded 2-manifold. To do so, we first derive modified versions of the… (More)

It is argued that the information-theoretic incompleteness theorems of algorithmic information theory provide a certain amount of support for what Jaffe and Quinn call “theoretical mathematics”. One… (More)