Fixed points on trivial surface bundles over a connected CW-complex

Author(s)

Goncalves, Daciberg Lima ^[1] ; Miwa Libardi, Alice Kimie ^[2] ; Penteado, Dirceu ^[3] ; Vieira, Joao Peres ^[2]

Affiliation

^[1] IME USP, Dept Matemat, BR-05314970 Sao Paulo, SP - Brazil

^[2] Univ Estadual Paulista, IGCE UNESP, Dept Matemat, BR-13500230 Rio Claro - Brazil

^[3] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos - Brazil

• Document type: Journal article
• Source: PUBLICATIONES MATHEMATICAE-DEBRECEN; v. 87, n. 3-4, p. 371-384, 2015.
• Web of Science Citations: 0

Abstract

The main purpose of this work is to study fixed points of fibre-preserving maps over a connected CW-complex B on the trivial surface bundles B x S where S is a closed surface of negative Euler characteristic. The case where B = S-1 and S is equal to S-2, i.e., the closed orientable surface of genus 2, is already known. We classify all such maps that can be deformed fibrewise to a fixed point free map. (AU)

• FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
• Grantee: Daciberg Lima Gonçalves
• Support Opportunities: Research Projects - Thematic Grants