Work

Morse numbers of complex polynomials

Year: 2024

Type: article

Abstract: To a complex polynomial function with arbitrary singularities, we associate the number of Morse points in a general linear Morsification . We produce computable algebraic formulae in terms of invariants of for the numbers of stratwise Morse trajectories that abut, as , to some point of the space or at infinity.

Source: Journal of Topology

DOI: 10.1112/topo.12362

Authors: Laurenţiu Maxim, Mihai Tibăr

Institutions: University of Wisconsin–Madison, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Centre National de la Recherche Scientifique, Université de Lille, Laboratoire Paul Painlevé

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: European Commission