On the space of maps inducing isomorphic connections
Annales de l'Institut Fourier, Volume 32 (1982) no. 1, p. 263-276

Let ω be the universal connection on the bundle EU(n)BU(n). Given a principal U(n)-bundle PM with connection A, we determine the homotopy type of the space of maps φ of M into BU(n) such that (φ + EU(n),φ + ω) is isomorphic to (P,A). Here φ + denotes pull-back.

Soit ω la connexion universelle du fibré EU(n)BU(n). Étant donné un U(n)-fibré principal PM muni d’une connexion A, on détermine le type homotopique de l’espace des applications de M dans BU(n) telles que (φ + EU(n),φ + ω) soit isomorphe à (P,A). (On désigne par φ + l’image réciproque.)

@article{AIF_1982__32_1_263_0,
     author = {Ramadas, T. R.},
     title = {On the space of maps inducing isomorphic connections},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {32},
     number = {1},
     year = {1982},
     pages = {263-276},
     doi = {10.5802/aif.868},
     zbl = {0466.55011},
     mrnumber = {84h:53038},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1982__32_1_263_0}
}
Ramadas, T. R. On the space of maps inducing isomorphic connections. Annales de l'Institut Fourier, Volume 32 (1982) no. 1, pp. 263-276. doi : 10.5802/aif.868. http://www.numdam.org/item/AIF_1982__32_1_263_0/

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