Estimating Nielsen Numbers on Wedge Product Spaces
- 685 Downloads
Let Open image in new window be a self-map of a finite polyhedron that is an aspherical wedge product space Open image in new window . In this paper, we estimate the Nielsen number Open image in new window of Open image in new window . In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus.
KeywordsDifferential Geometry Product Space Computational Biology Wedge Product
- 9.Hart EL: The Reidemeister trace and the calculation of the Nielsen number. In Nielsen Theory and Reidemeister Torsion, Banach Center Publications. Volume 49. Polish Academy of Sciences, Warsaw, Poland; 1999:151–157.Google Scholar
- 12.Yi P: An algorithm for computing the Nielsen number of maps on the pants surface, Ph.D. thesis. University of California, Los Angeles, Calif, USA; 2003.Google Scholar
- 14.Kim S: Nielsen numbers of maps of polyhedra with fundamental group free on two generators. preprint, 2007Google Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.