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Transfer maps and projection formulas
Author:
Gonçalo Tabuada
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2589-2597
MSC (2000):
Primary 18D20, 19D55, 14F05
Posted:
December 1, 2011
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Additional Information
Abstract: Transfer maps and projection formulas are undoubtedly one of the key tools in the development and computation of (co)homology theories. In this paper we develop a unified treatment of transfer maps and projection formulas in the non-commutative setting of dg categories. As an application, we obtain transfer maps and projection formulas in algebraic -theory, cyclic homology, topological cyclic homology, and other scheme invariants.
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Additional Information
Gonçalo Tabuada
Affiliation:
Departamento de Matemática e CMA, FCT-UNL, Quinta da Torre, 2829-516 Caparica, Portugal
Address at time of publication:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
tabuada@fct.unl.pt, tabuada@math.mit.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11169-9
PII:
S 0002-9939(2011)11169-9
Keywords:
Transfer maps,
projection formulas,
dg categories,
algebraic $K$-theory,
cyclic homology,
topological cyclic homology,
scheme invariants
Received by editor(s):
June 25, 2010
Received by editor(s) in revised form:
March 4, 2011
Posted:
December 1, 2011
Additional Notes:
The author was partially supported by the FCT-Portugal grant PTDC/MAT/098317/2008.
Communicated by:
Brooke Shipley
Article copyright:
© Copyright 2011 American Mathematical Society
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