On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3
Tatum, Elizabeth Ellen
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https://hdl.handle.net/2142/116076
Description
Title
On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3
Author(s)
Tatum, Elizabeth Ellen
Issue Date
2022-07-13
Director of Research (if dissertation) or Advisor (if thesis)
Stojanoska, Vesna
Doctoral Committee Chair(s)
Rezk, Charles
Committee Member(s)
Ando, Matthew
Heller, Jeremiah
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
algebraic topology
homotopy theory
Abstract
In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct spectrum-level splittings of the bo- and BP<1>-cooperations algebras. These splittings helped make it feasible to do computations using the bo- and BP<1>-based Adams spectral sequences. In this thesis, we construct an analogous splitting for the BP<2>-cooperations algebra at primes larger than 3.
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