Geometry & Topology Monographs 13 (2008) 281–291

DOI: 10.2140/gtm.2008.13.281

arXiv: 0904.0803

Abstract

Let P^l_k,n be the space consisting of monic complex polynomials f(z) of degree k and such that the number of n–fold roots of f(z) is at most l. In this paper, we determine the integral homology groups of P^l_k,n.

Keywords

polynomial, loop space, integral homology

Mathematical Subject Classification

Primary: 55P35

Secondary: 55R20, 58D15

References

Publication

Received: 5 June 2006
Revised: 20 February 2007
Accepted: 27 February 2007
Published: 25 February 2008

Authors