On the space of maps inducing isomorphic connections

Ramadas, T. R.. "On the space of maps inducing isomorphic connections." Annales de l'institut Fourier 32.1 (1982): 263-276. <http://eudml.org/doc/74528>.

@article{Ramadas1982,
abstract = {Let $\omega $ be the universal connection on the bundle $EU(n) \rightarrow BU(n)$. Given a principal $U(n)$-bundle $P\rightarrow M$ with connection $A$, we determine the homotopy type of the space of maps $\phi $ of $M$ into $BU(n)$ such that $(\phi ^+EU(n),\phi ^+\omega )$ is isomorphic to $(P,A)$. Here $\phi ^+$ denotes pull-back.},
author = {Ramadas, T. R.},
journal = {Annales de l'institut Fourier},
keywords = {space of maps inducing isomorphic connections; pull back of the universal connection on the universal U(n) bundle},
language = {eng},
number = {1},
pages = {263-276},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the space of maps inducing isomorphic connections},
url = {http://eudml.org/doc/74528},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Ramadas, T. R.
TI - On the space of maps inducing isomorphic connections
JO - Annales de l'institut Fourier
PY - 1982
PB - Association des Annales de l'Institut Fourier
VL - 32
IS - 1
SP - 263
EP - 276
AB - Let $\omega $ be the universal connection on the bundle $EU(n) \rightarrow BU(n)$. Given a principal $U(n)$-bundle $P\rightarrow M$ with connection $A$, we determine the homotopy type of the space of maps $\phi $ of $M$ into $BU(n)$ such that $(\phi ^+EU(n),\phi ^+\omega )$ is isomorphic to $(P,A)$. Here $\phi ^+$ denotes pull-back.
LA - eng
KW - space of maps inducing isomorphic connections; pull back of the universal connection on the universal U(n) bundle
UR - http://eudml.org/doc/74528
ER -