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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 2nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded out the statement of (the ingredients of) the isomorphism a bit more and made explicit the statement of the relation to the [[Landweber exact functor theorem]]. <a href="https://ncatlab.org/nlab/revision/diff/Conner-Floyd+isomorphism/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Conner-Floyd+isomorphism/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Conner-Floyd+isomorphism">current</a>

   I have expanded out the statement of (the ingredients of) the isomorphism a bit more and made explicit the statement of the relation to the Landweber exact functor theorem.

   diff, v5, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 18th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added pointer to the other early reference: * [[Pierre Conner]], [[Larry Smith]], Theorem 9.1 in: _On the complex bordism of finite complexes_, Publications Mathématiques de l'IHÉS, Tome 37 (1969) , pp. 117-221 ([numdam:PMIHES_1969__37__117_0](http://www.numdam.org/item/?id=PMIHES_1969__37__117_0)) <a href="https://ncatlab.org/nlab/revision/diff/Conner-Floyd+isomorphism/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Conner-Floyd+isomorphism/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Conner-Floyd+isomorphism">current</a>

   I have added pointer to the other early reference:

   • Pierre Conner, Larry Smith, Theorem 9.1 in: On the complex bordism of finite complexes, Publications Mathématiques de l’IHÉS, Tome 37 (1969) , pp. 117-221 (numdam:PMIHES_1969__37__117_0)

   diff, v7, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 18th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded brief statement of the variant of the CF-isomorphism for [[MSpin^c]]$\to$[[MU]] and [[MSpin]]$\to$[[KO]] with pointer to * [[Michael Hopkins]], [[Mark Hovey]], _Spin cobordism determines real K-theory_, Mathematische Zeitschrift volume 210, pages 181–196 (1992) ([doi:10.1007/BF02571790](https://doi.org/10.1007/BF02571790), [[HopkinsHoveyCobordismK.pdf:file]]) and added cross-link with _[[cobordism theory determining homology theory]]_ <a href="https://ncatlab.org/nlab/revision/diff/Conner-Floyd+isomorphism/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/Conner-Floyd+isomorphism/8">v8</a>, <a href="https://ncatlab.org/nlab/show/Conner-Floyd+isomorphism">current</a>

   added brief statement of the variant of the CF-isomorphism for MSpin^c$\to$MU and MSpin$\to$KO with pointer to

   • Michael Hopkins, Mark Hovey, Spin cobordism determines real K-theory, Mathematische Zeitschrift volume 210, pages 181–196 (1992) (doi:10.1007/BF02571790, HopkinsHoveyCobordismK.pdf:file)

   and added cross-link with cobordism theory determining homology theory

   diff, v8, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 18th 2021
   • (edited Feb 18th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded brief mentioning that the version for [[MSU]]$\to$[[KO]] _fails_ (or rather: holds after small modification), with pointer to * [[Serge Ochanine]], _Modules de SU-bordisme. Applications_, Bulletin de la Société Mathématique de France, Tome 115 (1987) , pp. 257-289 ([doi:10.24033/bsmf.2078]( https://doi.org/10.24033/bsmf.2078)) <a href="https://ncatlab.org/nlab/revision/diff/Conner-Floyd+isomorphism/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/Conner-Floyd+isomorphism/8">v8</a>, <a href="https://ncatlab.org/nlab/show/Conner-Floyd+isomorphism">current</a>

   added brief mentioning that the version for

   MSU$\to$KO

   fails (or rather: holds after small modification), with pointer to

   • Serge Ochanine, Modules de SU-bordisme. Applications, Bulletin de la Société Mathématique de France, Tome 115 (1987) , pp. 257-289 (doi:10.24033/bsmf.2078)

   diff, v8, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMar 6th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Toni Annala, [[Marc Hoyois]], Ryomei Iwasa, _Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory_ &lbrack;[arXiv:2303.02051](https://arxiv.org/abs/2303.02051)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Conner-Floyd+isomorphism/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Conner-Floyd+isomorphism/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Conner-Floyd+isomorphism">current</a>

   added pointer to:

   • Toni Annala, Marc Hoyois, Ryomei Iwasa, Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory [arXiv:2303.02051]

   diff, v11, current