Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications

<p>We construct Power operations in the K"unneth spectral sequence and the C₂ equivariant Adams spectral sequence. While the operations in the K"unneth spectral sequence are 0 in $Tor$, they still detect operations in the target of the spectral sequence. We then interpret these computations of the homotopy of relative smash products as being related to obstructions to having E_infty ring maps. The operations in the C₂-equivariant Adams spectral sequence are a partial extension of the work of Bruner in cite{HRS} and have applications to motivic homotopy theory.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2013

Author dc:creator

• Tilson, Sean Michael

Contributors dc:contributor

• Robert R. Bruner

• Dyer-Lashof
• power operations
• ring spectra
• spectral sequence
• stable homotopy
• Mathematics

Repository record dc:identifier

https://digitalcommons.wayne.edu/oa_dissertations/800

OAI identifier oai:identifier

oai:digitalcommons.wayne.edu:oa_dissertations-1799