Complex Cobordism vs. Representing Formal Group Laws
Jesse C. McKeown
TL;DR
This paper explores the relationship between complex cobordism and formal group laws, questioning whether the former can be derived from the latter within the framework of ring spectra and infinite loop spaces.
Contribution
It provides a tentative analysis of how complex cobordism might be reconstructed from formal group laws using ring spectrum representations.
Findings
Proposes a connection between complex cobordism and formal group laws.
Suggests a possible pathway from formal group laws to complex cobordism.
Highlights open questions in the relationship between these theories.
Abstract
We attempt to answer a question of D. C. Ravenel's: "Infinite loopspace theorists, where are you?", or more prosaically: Can one start from the notion of Ring Spectrum Representing [Formal Group Laws] (the functor) and arrive at Complex Cobordism? Our answer is a tentative "sort-of".
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Combinatorial Mathematics