Central cohomology operations and K-theory

Details Central cohomology operations and K-theory Central cohomology operations and K-theory

2012-04-13

arxiv.org/abs/1204.3025v1

Mathematics

Algebraic Topology

13 pages

Scientific paper

For stable degree zero 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 for any n. Thus, for all chromatic heights, the only central operations are those coming from K-theory.

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