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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 27th 2013
   • PermaLink
   Author: Urs
   Format: MarkdownItexI started splitting off _[[elliptic genus]]_ from _[[Witten genus]]_ but got interrupted. So currently it's essentially just a stub.

   I started splitting off elliptic genus from Witten genus but got interrupted. So currently it’s essentially just a stub.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 13th 2014
   • (edited Mar 13th 2014)
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   Author: Urs
   Format: MarkdownItexStarted adding some actual content at _[[elliptic genus]]_: added the original definition/characterization by Ochanine, and then a (very) brief discussion of the two degenerate casesof signature genus and $\hat A$-genus and the "universal" non-degenerate case of the Witten genus.

   Started adding some actual content at elliptic genus: added the original definition/characterization by Ochanine, and then a (very) brief discussion of the two degenerate casesof signature genus and $\hat A$-genus and the “universal” non-degenerate case of the Witten genus.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2020
   • (edited Nov 14th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave divided the list of references into "As a mathematical genus" and "As the partition function of a CFT" have added pointer to * [[Katrin Wendland]], Section 2.4 in:_Snapshots of Conformal Field Theory_, in: Mathematical Aspects of Quantum Field Theories. Mathematical Physics Studies. Springer 2015 ([arXiv:1404.3108](http://de.arxiv.org/abs/1404.3108), [doi:10.1007/978-3-319-09949-1_4](https://doi.org/10.1007/978-3-319-09949-1_4)) <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/17">v17</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   have divided the list of references into “As a mathematical genus” and “As the partition function of a CFT”

   have added pointer to

   • Katrin Wendland, Section 2.4 in:Snapshots of Conformal Field Theory, in: Mathematical Aspects of Quantum Field Theories. Mathematical Physics Studies. Springer 2015 (arXiv:1404.3108, doi:10.1007/978-3-319-09949-1_4)

   diff, v17, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2020
   • (edited Nov 14th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexcompleted publication data for * [[Toshiya Kawai]], [[Yasuhiko Yamada]], Sung-Kil Yang, _Elliptic Genera and $N=2$ Superconformal Field Theory_, Nucl. Phys. B414:191-212, 1994 ([arXiv:hep-th/9306096](http://arxiv.org/abs/hep-th/9306096), <a href="https://doi.org/10.1016/0550-3213(94)90428-6">doi:10.1016/0550-3213(94)90428-6</a>) <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/17">v17</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   completed publication data for

   • Toshiya Kawai, Yasuhiko Yamada, Sung-Kil Yang, Elliptic Genera and $N=2$ Superconformal Field Theory, Nucl. Phys. B414:191-212, 1994 (arXiv:hep-th/9306096, doi:10.1016/0550-3213(94)90428-6)

   diff, v17, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Ioanid Rosu]], _Equivariant Elliptic Cohomology and Rigidity_, American Journal of Mathematics 123 (2001), 647-677 ([arXiv:math/9912089](https://arxiv.org/abs/math/9912089)) <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/17">v17</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   added pointer to:

   • Ioanid Rosu, Equivariant Elliptic Cohomology and Rigidity, American Journal of Mathematics 123 (2001), 647-677 (arXiv:math/9912089)

   diff, v17, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2020
   • (edited Nov 14th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to The [[elliptic genus]]/[[Witten genus]] as [[fiber integration]] in [[elliptic cohomology]]: * [[Haynes Miller]], _The elliptic character and the Witten genus_, in: [[Mark Mahowald]], [[Stewart Priddy]] (eds.), _Algebraic topology_ (Evanston, IL, 1988), Contemp. Math. 96, Amer. Math. Soc., Providence, RI (1989) 281&#8211;289 ([pdf](http://dedekind.mit.edu/~hrm/papers/ell-char.pdf), [[MillerEllipticGenus.pdf:file]], [doi:10.1090/conm/096](http://dx.doi.org/10.1090/conm/096)) <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/17">v17</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   added pointer to

   The elliptic genus/Witten genus as fiber integration in elliptic cohomology:

   • Haynes Miller, The elliptic character and the Witten genus, in: Mark Mahowald, Stewart Priddy (eds.), Algebraic topology (Evanston, IL, 1988), Contemp. Math. 96, Amer. Math. Soc., Providence, RI (1989) 281–289 (pdf, MillerEllipticGenus.pdf:file, doi:10.1090/conm/096)

   diff, v17, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 16th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Peter Landweber]], _Elliptic genera: An introductory overview_ In: P. Landweber (eds.) _Elliptic Curves and Modular Forms in Algebraic Topology_, Lecture Notes in Mathematics, vol 1326. Springer (1988) ([doi:10.1007/BFb0078036](https://doi.org/10.1007/BFb0078036)) <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/19">v19</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   added pointer to

   • Peter Landweber, Elliptic genera: An introductory overview In: P. Landweber (eds.) Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Mathematics, vol 1326. Springer (1988) (doi:10.1007/BFb0078036)

   diff, v19, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeNov 17th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexRemoved the full list of references and replaced it by `!include`-ing _[[elliptic cohomology -- references]]_ <a href="https://ncatlab.org/nlab/revision/diff/elliptic+genus/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/elliptic+genus/21">v21</a>, <a href="https://ncatlab.org/nlab/show/elliptic+genus">current</a>

   Removed the full list of references and replaced it by !include-ing elliptic cohomology – references

   diff, v21, current