# The Curtis-Wellington spectral sequence through cohomology

@inproceedings{Hunter2021TheCS, title={The Curtis-Wellington spectral sequence through cohomology}, author={Dana Hunter}, year={2021} }

We study stable homotopy through unstable methods applied to its representing infinite loop space, as pioneered by Curtis and Wellington. Using cohomology instead of homology, we find a width filtration whose subquotients are simple quotients of Dickson algebras. We make initial calculations and determine towers in the resulting width spectral sequence. We also make calculations related to the image of J and conjecture that it is captured exactly by the lowest filtration in the width spectral…

## References

SHOWING 1-10 OF 33 REFERENCES

SPHERICAL CLASSES AND THE DICKSON ALGEBRA

- Mathematics
- 1998

We attack the conjecture that the only spherical classes in the homology of Q0S0 are Hopf invariant one and Kervaire invariant one elements. We do this by computing products in the E2-term of the…

The homology of iterated loop spaces

- Mathematics
- 2000

The singular chain complex of the iterated loop space is expressed in terms of the cobar construction. After that we consider the spectral sequence of the cobar construction and calculate its first…

Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture

- Mathematics
- 1994

An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. It gathers work on the theory of modules over…

The classifying spaces for surgery and cobordism of manifolds

- Mathematics
- 1979

Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle…

The mod‐2 cohomology rings of symmetric groups

- Mathematics
- 2012

We present a new additive basis for the mod‐2 cohomology of symmetric groups, along with explicit rules for multiplication and application of Steenrod operations in that basis. The key organizational…

The action of the Steenrod squares on the modular invariants of linear groups

- Mathematics
- 1991

We compute the action of the Steenrod squares on the Dickson invariants of the group GLn = GL(n, Z/2) and the Miii invariants of the subgroup Tn consisting of all upper triangular matrices with 1 on…

Correction to "The Sullivan Conjecture on Maps from Classifying Space"

- Mathematics
- 1985

On page 49, I assert that given an unstable coalgebra C over the mod p Steenrod algebra A, C E CA, the module of primitives PC is the suspension of an unstable A-module: E 'PC E U. This is true for p…

Symmetric invariants and cohomology of groups

- Mathematics
- 1990

Some time ago Nakaoka IN] determined the additive structure of H*(Z.,F2). Around the same time, the ring structure of H*(274, F2) was calculated and it was assumed that the same type of simple…