A Chain Level Transfer Homomorphism.
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Hans J. Munkholm (1979)
Mathematische Zeitschrift
Simão Stelmastchuk (2012)
Archivum Mathematicum
Let be a principal fiber bundle and an associated fiber bundle. Our interest is to study the harmonic sections of the projection of into . Our first purpose is give a characterization of harmonic sections of into regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of .
Marcelo A. Aguilar, Carlos Prieto (2006)
Fundamenta Mathematicae
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...
Fiedorowicz, Zbigniew (2002)
Algebraic & Geometric Topology
W. Barth, A. de Van de Ven (1974)
Inventiones mathematicae
Douglas C. Ravenel (1972)
Commentarii mathematici Helvetici
Helmut Reckziegel (1992)
Manuscripta mathematica
Rudolf Fiby (1973)
Matematický časopis
Shrawan Kumar (1982)
Annales de l'institut Fourier
Sullivan associated a uniquely determined to any simply connected simplicial complex . This algebra (called minimal model) contains the total (and exactly) rational homotopy information of the space . In case is the total space of a principal -bundle, ( is a compact connected Lie-group) we associate a -equivariant model , which is a collection of “-homotopic” ’s with -action. will, in general, be different from the Sullivan’s minimal model of the space . contains the total rational...
G. Brumfiel, R. Kubelka (1982)
Manuscripta mathematica
Kamps, K.H., Porter, T. (1999)
Homology, Homotopy and Applications
Patricia Tulley McAuley, Gerald S. Ungar (1979)
Colloquium Mathematicae
Meintrup, David, Schick, Thomas (2002)
The New York Journal of Mathematics [electronic only]
Martin FUCHS (1971)
Mathematische Annalen
B. Walczak (1980)
Annales Polonici Mathematici
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
Jianwei Zhou (2006)
Czechoslovak Mathematical Journal
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
Grandis, Marco (2001)
Theory and Applications of Categories [electronic only]
Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Tomáš Rusin (2019)
Archivum Mathematicum
We use known results on the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold to compute the generators of the –cohomology groups for . Drawing from the similarities of these examples with the general description of the cohomology rings of we conjecture some predictions.
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