Exotic multiplications on periodic complex bordism

Jeremy Hahn; Allen Yuan

doi:10.1112/topo.12169

Exotic multiplications on periodic complex bordism

Jeremy Hahn, Allen Yuan^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of (Formula presented.). This presents an (Formula presented.) structure on periodic complex bordism by different means than the usual Thom spectrum definition of the (Formula presented.) -ring (Formula presented.). Here, we prove that these two (Formula presented.) -rings are in fact different, though the underlying (Formula presented.) -rings are equivalent. Nonetheless, we prove that both rings (Formula presented.) -orient (Formula presented.) and other forms of (Formula presented.) -theory.

Original language	English (US)
Pages (from-to)	1839-1852
Number of pages	14
Journal	Journal of Topology
Volume	13
Issue number	4
DOIs	https://doi.org/10.1112/topo.12169
State	Published - Dec 2020

Keywords

55P43
55S25 (primary)

ASJC Scopus subject areas

Geometry and Topology

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10.1112/topo.12169

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title = "Exotic multiplications on periodic complex bordism",

abstract = "Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of (Formula presented.). This presents an (Formula presented.) structure on periodic complex bordism by different means than the usual Thom spectrum definition of the (Formula presented.) -ring (Formula presented.). Here, we prove that these two (Formula presented.) -rings are in fact different, though the underlying (Formula presented.) -rings are equivalent. Nonetheless, we prove that both rings (Formula presented.) -orient (Formula presented.) and other forms of (Formula presented.) -theory.",

keywords = "55P43, 55S25 (primary)",

author = "Jeremy Hahn and Allen Yuan",

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year = "2020",

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AU - Hahn, Jeremy

AU - Yuan, Allen

PY - 2020/12

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N2 - Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of (Formula presented.). This presents an (Formula presented.) structure on periodic complex bordism by different means than the usual Thom spectrum definition of the (Formula presented.) -ring (Formula presented.). Here, we prove that these two (Formula presented.) -rings are in fact different, though the underlying (Formula presented.) -rings are equivalent. Nonetheless, we prove that both rings (Formula presented.) -orient (Formula presented.) and other forms of (Formula presented.) -theory.

AB - Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of (Formula presented.). This presents an (Formula presented.) structure on periodic complex bordism by different means than the usual Thom spectrum definition of the (Formula presented.) -ring (Formula presented.). Here, we prove that these two (Formula presented.) -rings are in fact different, though the underlying (Formula presented.) -rings are equivalent. Nonetheless, we prove that both rings (Formula presented.) -orient (Formula presented.) and other forms of (Formula presented.) -theory.

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KW - 55S25 (primary)

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JF - Journal of Topology

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Exotic multiplications on periodic complex bordism

Abstract

Keywords

ASJC Scopus subject areas

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