Counting indices of critical points of rank two of polynomial selfmaps of R^4

TL;DR

This paper presents a method to compute the sum of indices of critical points of rank two in polynomial selfmaps of R^4, providing a systematic approach to analyze their topological properties.

Contribution

It introduces a novel technique for calculating the sum of indices of critical points of a specific rank in polynomial maps of four-dimensional space.

Findings

Method for computing sum of indices established

Applicable to polynomial selfmaps of R^4

Facilitates topological analysis of critical points

Abstract

There is shown how to compute the sum of indices of critical points of rank two for polynomial selmaps of R^4