Generalizing the transfer maps concerned with the projective spaces, we study some fundamental properties of transfer maps for sphere bundles. We show that their cofibers are represented by Thom spectra, which enables us to calculate the -invariants of the transfer maps. We give some concrete formula for the -invariants of them and its application.
"Transfer maps of sphere bundles." J. Math. Soc. Japan 52 (2) 363 - 372, April, 2000. https://doi.org/10.2969/jmsj/05220363