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1 - Unoriented Bordism

Published online by Cambridge University Press:  23 November 2018

Eric Peterson
Affiliation:
Harvard University, Massachusetts
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Summary

We recast Thom’s classical calculation of the unoriented bordism ring in the language of formal geometry, introducing foundational concepts as we go along, especially: Thom spectra and the Thom isomorphism, formal schemes, and the formal-geometric perspectives on the Steenrod algebra and on the Adams spectral sequence. This chapter is designed primarily with pedagogy in mind, as this calculation introduces all of the main structures used in the rest of the book, restricted to a particularly simple context.

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Publisher: Cambridge University Press
Print publication year: 2018

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  • Unoriented Bordism
  • Eric Peterson, Harvard University, Massachusetts
  • Book: Formal Geometry and Bordism Operations
  • Online publication: 23 November 2018
  • Chapter DOI: https://doi.org/10.1017/9781108552165.004
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  • Unoriented Bordism
  • Eric Peterson, Harvard University, Massachusetts
  • Book: Formal Geometry and Bordism Operations
  • Online publication: 23 November 2018
  • Chapter DOI: https://doi.org/10.1017/9781108552165.004
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Unoriented Bordism
  • Eric Peterson, Harvard University, Massachusetts
  • Book: Formal Geometry and Bordism Operations
  • Online publication: 23 November 2018
  • Chapter DOI: https://doi.org/10.1017/9781108552165.004
Available formats
×