On signatures of the atoroidal bundles of Kent-Leininger

TL;DR

This paper demonstrates the existence of infinitely many atoroidal surface bundles over surfaces with zero signature, expanding understanding of their topological diversity.

Contribution

It establishes the infinite variety of atoroidal surface bundles with signature zero, a previously unexplored aspect in topology.

Findings

Infinitely many homeomorphism types of atoroidal bundles with signature zero

Construction methods for such bundles

Implications for the classification of surface bundles

Abstract

We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.