On uniqueness of characteristic classes
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On uniqueness of characteristic classes. / Feliu, Elisenda.
I: Journal of Pure and Applied Algebra, Bind 215, Nr. 6, 2011, s. 1223-1242.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - On uniqueness of characteristic classes
AU - Feliu, Elisenda
PY - 2011
Y1 - 2011
N2 - We give an axiomatic characterization of maps from algebraic K-theory. The results apply to a large class of maps from algebraic K-theory to any suitable cohomology theory or to algebraic K-theory. In particular, we obtain comparison theorems for the Chern character and Chern classes and for the Adams operations and ¿-operations on higher algebraic K-theory. We show that the Adams operations and ¿-operations defined by Grayson agree with the ones defined by Gillet and Soulé.
AB - We give an axiomatic characterization of maps from algebraic K-theory. The results apply to a large class of maps from algebraic K-theory to any suitable cohomology theory or to algebraic K-theory. In particular, we obtain comparison theorems for the Chern character and Chern classes and for the Adams operations and ¿-operations on higher algebraic K-theory. We show that the Adams operations and ¿-operations defined by Grayson agree with the ones defined by Gillet and Soulé.
U2 - 10.1016/j.jpaa.2010.08.006
DO - 10.1016/j.jpaa.2010.08.006
M3 - Journal article
VL - 215
SP - 1223
EP - 1242
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 6
ER -
ID: 40285414