On the signature of biquotients

TL;DR

This paper extends Hirzebruch's method to compute the signature of a broad class of biquotients, enriching the understanding of their topological invariants.

Contribution

It introduces a generalized approach for calculating the signature of biquotients, expanding the class of spaces with known signature formulas.

Findings

Computed signatures for new classes of biquotients.

Established a generalized formula extending Hirzebruch's original work.

Enhanced understanding of topological invariants of biquotients.

Abstract

We generalize Hirzebruch's computation of the signature of equal rank homogeneous spaces to a large class of biquotients.