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

Soit ω la connexion universelle du fibré EU(n)→BU(n). Étant donné un U(n)-fibré principal P→M 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.)

Let ω be the universal connection on the bundle EU(n)→BU(n). Given a principal U(n)-bundle P→M 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.

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     author = {Ramadas, T. R.},
     title = {On the space of maps inducing isomorphic connections},
     journal = {Annales de l'Institut Fourier},
     pages = {263--276},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {32},
     number = {1},
     year = {1982},
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Ramadas, T. R. On the space of maps inducing isomorphic connections. Annales de l'Institut Fourier, Tome 32 (1982) no. 1, pp. 263-276. doi : 10.5802/aif.868. https://aif.centre-mersenne.org/articles/10.5802/aif.868/

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