Realizing Families of Landweber Exact Homology Theories
Paul G. Goerss
TL;DR
This paper explores the realization of families of complex orientable homology theories as commutative ring spectra, highlighting recent advances involving p-divisible groups and their role in this process.
Contribution
It introduces new methods for realizing families of Landweber exact homology theories as structured ring spectra, building on recent work by Jacob Lurie.
Findings
Established conditions for realizing Landweber exact theories as ring spectra
Connected p-divisible groups to the realization problem
Extended previous results with new theoretical insights
Abstract
I discuss the problem of realizing families of complex orientable homology theories as families of commutative ring spectra, including a recent result of Jacob Lurie emphasizing the role of p-divisible groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models