The monochromatic Hopf invariant

2014/10/27 by Guozhen Wang, Wang, Guozhen
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1410.7292

openalex publication_date 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will compute the effect of the James-Hopf map after applying the Bousfield-Kuhn functor on Morava E-theory, and then compute the monochromatic Hopf invariant of the β family using this cohomological information.

Related

• Lubin-Tate theory, character theory, and power operations
• Computing the Hopf invariant
• A stable cohomotopy refinement of Seiberg-Witten invariants: I
• The geometric Hopf invariant and double points
• Tate blueshift and vanishing for Real oriented cohomology