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Results tagged with steenrod-algebra
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user 14447
8
votes
Accepted
Examples of non-zero negative Steenrod operations
Notice the switch in grading from homology to cohomology on May's page 182: $P^s(x) = P_{-s}(x)$. Operations that raise degree when graded homologically lower degree when graded cohomologically. A la …
- 30.4k
7
votes
Massey products in the Steenrod algebra
Here is a reference from way back: Kristensen, Leif.
Massey products in Steenrod's algebra. 1970 Proc. Advanced Study Inst. on Algebraic Topology (Aarhus, 1970), Vol. II pp. 240–255 Mat. Inst., Aarhus …
- 30.4k
17
votes
Accepted
Do people still use Massey Products for computations in the Adams Spectral Sequence
Why would anything computationally useful be obsolete? Massey products and Toda brackets are intrinsic to stable homotopy theory. It is guaranteed in advance that every element of $E_2$
of the clas …
- 30.4k
9
votes
Why are cup-i products and Steenrod Squares often (always?) unary?
Under suitable hypotheses, Gugenheim and I use the binary $\cup_1$ and especially the fact that it is a graded derivation (Hirsch formula) as the key to giving a calculation of $H^*(G/H)$ as the torsi …
- 30.4k