On $G$-fiberings over the circle within a cobordism class

CHARACTERISTIC NUMBERS AND COBORDISM CLASSES OF FIBERINGS WITH FIBER RP (2k)

Some groups An of n-dimensional unoriented cobordism classes represented by the total space of a fibering with the real projective space RP (2k) as fiber are determined.

On the Factors and Fiberings of Manifolds

Cobordism class of multiple points of immersions

Using generating functions, we derive a multiple point formula for every generic immersion f : M # N between even dimensional oriented manifolds. This produces explicit formulas for the signature and Pontrjagin numbers of the multiple point manifolds. The formula takes a particular simple form in many special cases, e.g. when f is nullhomotopic we recover Szűcs’s formula in [3]. It also include...

A New Class of Orthogonal Polynomials on the Unit Circle

Even though the theory of orthogonal polynomials on the unit circle, also known as the theory of Szegő polynomials, is very extensive, it is less known than the theory of orthogonal polynomials on the real line. One reason for this may be that “beautiful” examples on the theory of Szegő polynomials are scarce. This is in contrast to the wonderful examples of Jacobi, Laguerrer and Hermite polyno...

Surface Bundles over Surfaces with Arbitrarily Many Fiberings

In this paper we give the first example of a surface bundle over a surface with at least three fiberings. In fact, for each n ≥ 3 we construct 4-manifolds E admitting at least n distinct fiberings pi : E → Σgi as a surface bundle over a surface with base and fiber both closed surfaces of negative Euler characteristic. We give examples of surface bundles admitting multiple fiberings for which th...