Tipos de homotopia dos grupos de gauge dos fibrados linhas quaterniônicos sobre esferas / Homotopy type of Gauge groups of quaternionic line bundles over spheres

AUTOR(ES)

Mario Henrique Andrade Claudio

DATA DE PUBLICAÇÃO

2008

RESUMO

Let p be a principal S POT. 3- bundle over a sphere S POT. n, with n>or =4. The subject of this work is to calculate the homotopy type of the gauge group G IND. pof these bundles p, extending the result determined by A. Kono [25] when n = 4. We present explicit formulas for the boundary operator in the homotopy exact sequence associated with the evaluation map ev : m(S POT. n, B S POT. 3) ARROWB S POT. 3, translating that problem into calculations involving homotopy groups of sphere. We calculate all the classical cases, namely those that can be dealt with using the information in the book of H. Toda [46], determining the homotopy type of the gauge group of these bundles for each n >or = 25

ASSUNTO(S)

grupos de gauge fibrados principais gauge groups principal bundles homotopy type tipos de homotopia

Documentos Relacionados

• "Enumeração dos fibrados vetoriais sobre superfícies fechadas"
• ON UNSTABLE HOMOTOPY OF SPHERES AND CLASSICAL GROUPS
• Vector bundles over tridimensional spherical space forms
• Representations of quivers and vector bundles over projectives spaces = : Representações de quivers e fibrados vetoriais sobre espaços projetivos
• Simple homotopy and classification of lens spaces.