A classification of cohomology transfers for ramified covering maps

Marcelo A. Aguilar, and Carlos Prieto. "A classification of cohomology transfers for ramified covering maps." Fundamenta Mathematicae 189.1 (2006): 1-25. <http://eudml.org/doc/283005>.

@article{MarceloA2006,
abstract = {We construct a cohomology transfer for n-fold ramified covering maps. Then we define a very general concept of transfer for ramified covering maps and prove a classification theorem for such transfers. This generalizes Roush's classification of transfers for n-fold ordinary covering maps. We characterize those representable cofunctors which admit a family of transfers for ramified covering maps that have two naturality properties, as well as normalization and stability. This is analogous to Roush's characterization theorem for the case of ordinary covering maps. Finally, we classify those families of transfers and construct some examples. In particular, we extend the determinant function in GL(k,ℂ) to a transfer.},
author = {Marcelo A. Aguilar, Carlos Prieto},
journal = {Fundamenta Mathematicae},
keywords = {transfers; ramified covering maps},
language = {eng},
number = {1},
pages = {1-25},
title = {A classification of cohomology transfers for ramified covering maps},
url = {http://eudml.org/doc/283005},
volume = {189},
year = {2006},
}

TY - JOUR
AU - Marcelo A. Aguilar
AU - Carlos Prieto
TI - A classification of cohomology transfers for ramified covering maps
JO - Fundamenta Mathematicae
PY - 2006
VL - 189
IS - 1
SP - 1
EP - 25
AB - We construct a cohomology transfer for n-fold ramified covering maps. Then we define a very general concept of transfer for ramified covering maps and prove a classification theorem for such transfers. This generalizes Roush's classification of transfers for n-fold ordinary covering maps. We characterize those representable cofunctors which admit a family of transfers for ramified covering maps that have two naturality properties, as well as normalization and stability. This is analogous to Roush's characterization theorem for the case of ordinary covering maps. Finally, we classify those families of transfers and construct some examples. In particular, we extend the determinant function in GL(k,ℂ) to a transfer.
LA - eng
KW - transfers; ramified covering maps
UR - http://eudml.org/doc/283005
ER -