The real-oriented cohomology of infinite stunted projective spaces

DOI10.2140/agt.2024.24.4061MaRDI QIDQ6657463

William Balderrama

Publication date: 6 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

projective spaceMahowald invariantreal bordism

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) (v_n)-periodicity (55Q51)

Cites Work

• Title not available (Why is that?)
• Real orientations of Lubin-Tate spectra
• Hurewicz images of real bordism theory and real Johnson-Wilson theories
• \(\mathrm{tmf}\)-based Mahowald invariants
• Tate blueshift and vanishing for real oriented cohomology theories
• The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules
• The real Johnson-Wilson cohomology of \(\mathbb{CP}^\infty\)
• On the nonexistence of elements of Kervaire invariant one
• TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles
• The ER(z)-cohomology of Bℤ/(2^q) and ℂℙⁿ
• The sigma orientation is an H [infinity map]
• Generalized group characters and complex oriented cohomology theories
• Conjugations on complex manifolds and equivariant homotopy of 𝑀𝑈
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence
• Total power operations in spectral sequences

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