The topological modular forms of ℝ² and ℝP² Λ ℂP².

Autor: Beaudry, Agnès, Bobkova, Irina, Viet-Cuong Pham, Zhouli Xu
Předmět:
Zdroj: Journal of Topology; Dec2022, Vol. 15 Issue 4, p1864-1926, 63p
Abstrakt: We study the elliptic spectral sequence computing Tmf*(ℝP²) and tmf*(ℝP² Λ -- ℂP²). Specifically, we compute all differentials and resolve exotic extensions by 2, η, and v. For tmf*,(ℝP² Λ ℂP²), we also compute the effect of the v1-self maps of ℝP²-homology. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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