Related papers: Notes on the Sigma invariants

We give a survey on higher invariants in noncommutative geometry and their applications to differential geometry and topology.

This is an update on, and expansion of, our paper Open problems on $\beta\omega$ in the book Open Problems in Topology.

Expanded version of the author's contribution to the Concise Encyclopaedia of Supersymmetry, eds. J. Bagger, S. Duplij and W. Siegel

A proposed solution to the Riemann Hypothesis

The subfactor approach to modular invariants gives insight into the fusion rule structure of the modular invariants.

A few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the…

The SU(3) modular invariant partition functions were first completely classified in Ref.\ \SU. The purpose of these notes is four-fold: \item{(i)} Here we accomplish the SU(3) classification using only the most basic facts: modular…

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

Some notes and observations on analytic functions defined on an annulus

Notes for the upcoming Workshop on Symplectic Field Theory IX, Polyfolds for SFT. These notes are essentially the first few chapters of a forthcoming book entitled "Polyfold Constructions: Tools, Techniques, and Functors"

An annotated bibliography of papers which deal with or use Abstract State Machines (ASMs), as of January 1998.

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it contains a brief survey of recent results on symplectically…

We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1,…

Sec I - Introduction Sec II - Equilibrium properties: generalities and methodology Sec III - Equilibrium properties: some important quantities Sec IV - Dynamical properties: heuristic approach Sec V - Dynamical properties: stochastic…

In this paper, we extend the study of bivariate generalised beta type I and II distributions to the matrix variate case.

In this paper, we study some properties of multivariate gamma function and zonal polynomials.

This paper presents invariants under gamma correction and similarity transformations. The invariants are local features based on differentials which are implemented using derivatives of the Gaussian. The use of the proposed invariant…

In this article we give corrections and addendum to the article ``Flops and Poisson deformations of symplectic varieties, Publ. Res. Inst. Math. Sci. {\bf 44} (2008) 259 - 314''.

This is an expanded version of the talk I gave at Oberwolfach, MIT and several other universities.