Push-Forwards on Projective Towers

TL;DR

This paper presents a straightforward combinatorial formula for computing push-forwards of cohomology classes in projective towers, simplifying calculations by relating them to individual steps in the tower.

Contribution

It introduces a novel combinatorial approach to compute push-forwards in projective towers, enhancing existing methods for cohomology class calculations.

Findings

Derived a simple formula for push-forwards in projective towers

Reduced complex calculations to combinatorial formulas

Facilitated easier computation of cohomology classes

Abstract

In this paper we derive a simple and useful combinatorial formula for the push-forwards of cohomology classes down projective towers, in terms of the push-forwards down the individual steps in the tower.