Peter Singer is used to controversy—indeed, he seems to court it—but nothing could have prepared him for the reaction which followed his recent review of Midas Dekker’s Dearest Pet for the on-line version of Nerve magazine. Dekker’s book is a social, historical, and psychological examination of bestiality, and Singer’s review has been widely perceived as condoning the practice. The horrified re...

The Hochschild and cyclic homology groups are computed for the algebra of ‘cusp’ pseudodifferential operators on any compact manifold with boundary. The index functional for this algebra is interpreted as a Hochschild 1-cocycle and evaluated in terms of extensions of the trace functionals on the two natural ideals, corresponding to the two filtrations by interior order and vanishing degree at t...

We establish a splitting formula for the spectral flow of the odd signature operator on a closed 3–manifold M coupled to a path of SU(2) connections, provided M = S ∪X , where S is the solid torus. It describes the spectral flow on M in terms of the spectral flow on S , the spectral flow on X (with certain Atiyah–Patodi–Singer boundary conditions), and two correction terms which depend only on ...

(Morphometric analysis of the Brasiliorchis picta complex (Orchidaceae)). One of the largest genera of Orchidaceae in the Neotropics with about 450 species, Maxillaria presents several taxonomic uncertainties about its generic circumscription and the delimitation of species groups, mainly due to the large variability of some species. The present study aims at verifying the morphological variati...

An equality between the spectral flow of a family $A$ self-adjoint Fredholm operators and index associated differential operator $\frac{d}{dt}-iA$ with Atiyah-Patodi-Singer-style boundary conditions is shown. This generalizes result by C.B\"ar A. Strohmaier used to show their Lorentzian version Atiyah-Patodi-Singer Index Theorem.

In this work we find the isomonodromic (Jimbo-Miwa) tau-function corresponding to Frobenius manifold structures on Hurwitz spaces. We discuss several applications of this result. First, we get an explicit expression for the G-function (solution of Getzler’s equation) of the Hurwitz Frobenius manifolds. Second, in terms of this tau-function we compute the genus one correction to the free energy ...

and this index is constant on continuous families of such L. Suppose that D is an elliptic operator of order m on sections of a vector bundle E± over a smooth, compact manifold M . Let H (Γ (M,E±)) denote the Sobolev s-norm completion of the space of sections Γ (M,E), with respect to a chosen metric. Then D can be extended to be a bounded linear operator Ds : H s (Γ (M,E)) → Hs−m (Γ (M,E−)) tha...

We study a wide class of free-fermion systems on a hypercubic lattice in spatial dimensions d ≥ 1. When the system is insulating, the topological properties, e.g., the integral quantization of the topological invariant, are protected by certain symmetries of the Hamiltonian against disorder. This generic feature is characterized by a generalized index theorem which is a noncommutative analogue ...

A new singer identification system is presented in this thesis. The system is based on the idea of using only the vocal segments of a song to build the model of a particular singer. The most important contribution of the technique is the way these vocal segments are located. The borders between vocal and instrumental parts are first detected with the Bayesian Information Criterion(BIC), which i...

Let G be a locally compact group acting smoothly and properly by isometries on a complete Riemannian manifoldM , with compact quotient GnM . There is an assembly map W K .M/ ! K .B/ which associates to any Gequivariant K-homology class onM , an element of the topological K-theory of a suitable Banach completion B of the convolution algebra of continuous compactly supported functions on G. The a...