Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexam finally splitting this off from _[[Tate curve]]_ <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   am finally splitting this off from Tate curve

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 4th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added cross-link back to _[[spin-orientation of Tate K-theory]]_ <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   I have added cross-link back to spin-orientation of Tate K-theory

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 5th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added more references and stated the definition of the equivariant version ([here](https://ncatlab.org/nlab/show/Tate+K-theory#IdeaEquivariantVersion)), yet without motivation <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   I have added more references and stated the definition of the equivariant version (here), yet without motivation

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 27th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added the remark ([here](https://ncatlab.org/nlab/show/Tate+K-theory#RotationConditionImpliedByHuanInertiaEquivariance)) that Ganter's "rotation condition" is implied by equivariance with respect to [[Huan's inertia orbifold]]. <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   I have added the remark (here) that Ganter’s “rotation condition” is implied by equivariance with respect to Huan’s inertia orbifold.

   diff, v9, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeOct 20th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to this preprint, from a few days back: * [[Zhen Huan]], [[Matthew B. Young]], *Twisted Real quasi-elliptic cohomology* &lbrack;[arXiv:2210.07511](https://arxiv.org/abs/2210.07511)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/13">v13</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   added pointer to this preprint, from a few days back:

   • Zhen Huan, Matthew B. Young, Twisted Real quasi-elliptic cohomology [arXiv:2210.07511]

   diff, v13, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2022
   • (edited Dec 1st 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Zhen Huan]], *Quasi-Elliptic Cohomology and its Power Operations*, J. Homotopy and Related Structures **13** (2018) 715–767 &lbrack;[arXiv:1612.00930](https://arxiv.org/abs/1612.00930), [doi:10.1007/s40062-018-0201-y](https://doi.org/10.1007/s40062-018-0201-y)&rbrack; Then I was looking for publication status of the following items, but maybe they remain unpublished?: * [[Zhen Huan]], *Quasi-elliptic cohomology and its Spectrum* ([arXiv:1703.06562](https://arxiv.org/abs/1703.06562)) * [[Zhen Huan]], *Quasi-theories* &lbrack;[arXiv:1809.06651](https://arxiv.org/abs/1809.06651)&rbrack; * [[Zhen Huan]], *Quasi-theories and their equivariant orthogonal spectra* &lbrack;[arXiv:1809.07622](https://arxiv.org/abs/1809.07622)&rbrack; * [[Zhen Huan]], [[Matthew Spong]], *Twisted Quasi-elliptic cohomology and twisted equivariant elliptic cohomology* ([arXiv:2006.00554](https://arxiv.org/abs/2006.00554)) <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/16">v16</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   added pointer to:

   • Zhen Huan, Quasi-Elliptic Cohomology and its Power Operations, J. Homotopy and Related Structures 13 (2018) 715–767 [arXiv:1612.00930, doi:10.1007/s40062-018-0201-y]

   Then I was looking for publication status of the following items, but maybe they remain unpublished?:

   • Zhen Huan, Quasi-elliptic cohomology and its Spectrum (arXiv:1703.06562)

   • Zhen Huan, Quasi-theories [arXiv:1809.06651]

   • Zhen Huan, Quasi-theories and their equivariant orthogonal spectra [arXiv:1809.07622]

   • Zhen Huan, Matthew Spong, Twisted Quasi-elliptic cohomology and twisted equivariant elliptic cohomology (arXiv:2006.00554)

   diff, v16, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for this item: * [[Kiran Luecke]], *Completed K-theory and Equivariant Elliptic Cohomology*, Advances in Mathematics **410** B (2022) 108754 &lbrack;[arXiv:1904.00085](https://arxiv.org/abs/1904.00085), [doi:10.1016/j.aim.2022.108754](https://doi.org/10.1016/j.aim.2022.108754)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   added publication data for this item:

   • Kiran Luecke, Completed K-theory and Equivariant Elliptic Cohomology, Advances in Mathematics 410 B (2022) 108754 [arXiv:1904.00085, doi:10.1016/j.aim.2022.108754]

   diff, v17, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeDec 10th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer: * [[Zhen Huan]], *Quasi-elliptic cohomology theory and the twisted, twisted Real theories* talk at Perimeter Institute (2020) &lbrack;video: [doi:10.48660/20050059](https://doi.org/10.48660/20050059)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/18">v18</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   added this pointer:

   • Zhen Huan, Quasi-elliptic cohomology theory and the twisted, twisted Real theories talk at Perimeter Institute (2020) [video: doi:10.48660/20050059]

   diff, v18, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeNov 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexwith kind permission by the author, kindly mediated by Zhen Huan, I have uploaded the original but previously not publicly available note on *quasi-elliptic cohomology*: * [[Charles Rezk]], *Quasi-Elliptic Cohomology* (2014) &lbrack;[pdf](https://ncatlab.org/nlab/files/Rezk-QuasiEllipticCohomology.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Tate+K-theory/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/Tate+K-theory/19">v19</a>, <a href="https://ncatlab.org/nlab/show/Tate+K-theory">current</a>

   with kind permission by the author, kindly mediated by Zhen Huan, I have uploaded the original but previously not publicly available note on quasi-elliptic cohomology:

   • Charles Rezk, Quasi-Elliptic Cohomology (2014) [pdf]

   diff, v19, current