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Central cohomology operations and K-Theory

Author
Galvez, M.; Whitehouse, S.
Type of activity
Journal article
Journal
Proceedings of the Edinburgh Mathematical Society
Date of publication
2014-10-01
Volume
57
Number
3
First page
699
Last page
711
DOI
https://doi.org/10.1017/S0013091513000680
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repository
http://hdl.handle.net/2117/23645
Abstract
For stable degree 0 operations, and also for additive unstable operations of bidegree (0, 0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. Here we show that, in the additive unstable context, this result holds with BP replaced by BP < n > for any ...
Citation
Galvez, M.; Whitehouse, S. Central cohomology operations and K-theory. "Proceedings of the Edinburgh Mathematical Society", Octubre 2014, vol. 57, núm. 3, p. 699-711.
Keywords
ADAMS-OPERATIONS, COBORDISM, INFINITE SUMS, K-theory, cobordism, operations
Group of research
GEOMVAP - Geometry of Manifolds and Applications