The Circle Transfer and Cobordism Categories

DOI10.1017/S0013091518000615zbMath1423.55022arXiv1711.09433WikidataQ128567422 ScholiaQ128567422MaRDI QIDQ4966888

Jeffrey Giansiracusa

Publication date: 28 June 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09433

zbMATH Keywords

cobordismfree loop spaceequivariant homotopycircle transferPontrjagin-Thom

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Cites Work

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• The homotopy type of the cobordism category
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• On the detection of some elements in the image of the double transfer using K(2)-theory
• On the iterated complex transfer
• \(\mu\)-elements in \(S^ 1\)-transfer images
• The smooth Whitehead spectrum of a point at odd regular primes
• The cyclotomic trace and algebraic K-theory of spaces
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
• The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\).

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