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8 votes
1 answer
271 views

$K$-theory and its dual

I am reading a paper which uses some $K$-homology which is the homology theory dual to $K$-theory can be defined using the homotopy theoretic formulation: $$ K_\ast(X)\cong\pi_\ast(K\wedge X). $$ ...
Louis T's user avatar
  • 81
6 votes
1 answer
534 views

Stable Adams operations

I have come across a paper by Adams, Harris and Switzer on the Hopf algebra of cooperations of real and complex K-theory. The Adams operations are stable in the $p$-local setting, however I have not ...
Avishkar Rajeshirke's user avatar
11 votes
0 answers
532 views

Chromatic Homotopy Theory and Physics

Chromatic homotopy theory is a subfield of stable homotopy theory that studies complex-oriented cohomology theories from the "chromatic" point of view, which is based on Quillen's work relating ...
wonderich's user avatar
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