Lefschetz and Lower Bound theorems for Minkowski sums

TL;DR

This paper establishes Lefschetz and lower bound theorems for Minkowski sums of polytopes, extending geometric combinatorics theory with new bounds and topological insights.

Contribution

It introduces a Lefschetz theorem specific to Minkowski sums and derives lower bound theorems, advancing the understanding of polytope combinatorics.

Findings

Lefschetz theorem for Minkowski sums of polytopes

Lower bound theorems for Minkowski sums

Extension of geometric combinatorics results

Abstract

This note provides a Lefschetz theorem for Minkowski sums of polytopes, and conclude lower bound theorems for Minkowski sums of polytopes. It is written as an appendix to arXiv:1405.7368, so notation and references follow that paper.