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nLab > Latest Changes: homotopical algebraic quantum field theory

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- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeJun 3rd 2017
- (edited Jun 3rd 2017)
- PermaLink
Author: Urs
Format: MarkdownItexOn occasion of Alexander Schenkel's most recent talk ([here](https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory#Schenkel17)) I am finally splitting off an entry _[[homotopical algebraic quantum field theory]]_ from _[[AQFT]]_.

On occasion of Alexander Schenkel’s most recent talk (here) I am finally splitting off an entry homotopical algebraic quantum field theory from AQFT.
- CommentRowNumber2.
- CommentAuthorDavid_Corfield
- CommentTimeJun 3rd 2017
- PermaLink
Author: David_Corfield
Format: MarkdownItex>Marco Benini, Alexander Schenkel, Quantum field theories on categories fibered in groupoids (arXiv:1610.06071) is repeated in the references. Does it make better sense before or after 'Further developments include'?

Marco Benini, Alexander Schenkel, Quantum field theories on categories fibered in groupoids (arXiv:1610.06071)

is repeated in the references. Does it make better sense before or after ’Further developments include’?
- CommentRowNumber3.
- CommentAuthorUrs
- CommentTimeJun 6th 2017
- PermaLink
Author: Urs
Format: MarkdownItexThanks for the alert. I have adjusted it now.

Thanks for the alert. I have adjusted it now.
- CommentRowNumber4.
- CommentAuthorUrs
- CommentTimeFeb 23rd 2018
- (edited Feb 23rd 2018)
- PermaLink
Author: Urs
Format: MarkdownItexThis was quick, a textbook already: * [[Donald Yau]], "Homotopical Quantum Field Theory" ([arXiv:1802.08101](https://arxiv.org/abs/1802.08101)) Still have to read in detail. But I have added a pointer [here](https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory#Yau18).
This was quick, a textbook already:
- Donald Yau, “Homotopical Quantum Field Theory” (arXiv:1802.08101)
Still have to read in detail. But I have added a pointer here.
- CommentRowNumber5.
- CommentAuthorUrs
- CommentTimeMay 24th 2018
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to the latest [Benini-Schenkel-Woike 18](https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory#BeniniSchenkelWoike18) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/10">v10</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>

added pointer to the latest Benini-Schenkel-Woike 18

diff, v10, current
- CommentRowNumber6.
- CommentAuthorUrs
- CommentTimeMar 8th 2019
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's review * [[Marco Benini]], [[Alexander Schenkel]], _Higher Structures in Algebraic Quantum Field Theory_, Proceedings of LMS/EPSRC Symposium _[Higher Structures in M-Theory](http://www.maths.dur.ac.uk/lms/109/index.html)_, Fortschritte der Physik 2019 ([arXiv:1903.02878](https://arxiv.org/abs/1903.02878)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/11">v11</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to today’s review
- Marco Benini, Alexander Schenkel, Higher Structures in Algebraic Quantum Field Theory, Proceedings of LMS/EPSRC Symposium Higher Structures in M-Theory, Fortschritte der Physik 2019 (arXiv:1903.02878)
diff, v11, current
- CommentRowNumber7.
- CommentAuthorUrs
- CommentTimeJun 5th 2019
- (edited Jun 5th 2019)
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to yesterday's * [[Marco Benini]], Simen Bruinsma, [[Alexander Schenkel]], _Linear Yang-Mills theory as a homotopy AQFT_ ([arXiv:1906.00999](https://arxiv.org/abs/1906.00999)) (and also at _[[BV-BRST complex]]_) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/12">v12</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to yesterday’s
- Marco Benini, Simen Bruinsma, Alexander Schenkel, Linear Yang-Mills theory as a homotopy AQFT (arXiv:1906.00999)
(and also at BV-BRST complex)

diff, v12, current
- CommentRowNumber8.
- CommentAuthorUrs
- CommentTimeMar 15th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Marco Benini]], Marco Perin, [[Alexander Schenkel]], [[Lukas Woike]], _Categorification of algebraic quantum field theories_ Lett. Math. Phys. 2021 ([h)arXiv:2003.13713](https://arxiv.org/abs/2003.13713)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/16">v16</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to:
- Marco Benini, Marco Perin, Alexander Schenkel, Lukas Woike, Categorification of algebraic quantum field theories Lett. Math. Phys. 2021 (h)arXiv:2003.13713)
diff, v16, current
- CommentRowNumber9.
- CommentAuthorUrs
- CommentTimeMar 15th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded publication data to: * [[Marco Benini]], [[Alexander Schenkel]], [[Urs Schreiber]], _The stack of Yang-Mills fields on Lorentzian manifolds_, Commun. Math. Phys. 359, 765–820 (2018) ([arXiv:1704.01378](https://arxiv.org/abs/1704.01378), [doi:10.1007/s00220-018-3120-1](https://doi.org/10.1007/s00220-018-3120-1)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added publication data to:
- Marco Benini, Alexander Schenkel, Urs Schreiber, The stack of Yang-Mills fields on Lorentzian manifolds, Commun. Math. Phys. 359, 765–820 (2018) (arXiv:1704.01378, doi:10.1007/s00220-018-3120-1)
diff, v17, current
- CommentRowNumber10.
- CommentAuthorUrs
- CommentTimeMar 15th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded publication data for: * [[Marco Benini]], [[Alexander Schenkel]], [[Lukas Woike]], _Homotopy theory of algebraic quantum field theories_, Lett. Math. Phys. 109, 1487-1532 (2019) ([arXiv:1805.08795](https://arxiv.org/abs/1805.08795), [doi:10.1007/s11005-018-01151-x](https://doi.org/10.1007/s11005-018-01151-x)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added publication data for:
- Marco Benini, Alexander Schenkel, Lukas Woike, Homotopy theory of algebraic quantum field theories, Lett. Math. Phys. 109, 1487-1532 (2019) (arXiv:1805.08795, doi:10.1007/s11005-018-01151-x)
diff, v17, current
- CommentRowNumber11.
- CommentAuthorUrs
- CommentTimeMar 15th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded publication data to: * [[Donald Yau]], _Homotopical Quantum Field Theory_, World Scientific 2019 ([arXiv:1802.08101](https://arxiv.org/abs/1802.08101), [doi:10.1142/11626](https://doi.org/10.1142/11626)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added publication data to:
- Donald Yau, Homotopical Quantum Field Theory, World Scientific 2019 (arXiv:1802.08101, doi:10.1142/11626)
diff, v17, current
- CommentRowNumber12.
- CommentAuthorUrs
- CommentTimeMar 15th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded publication data to: * [[Marco Benini]], [[Simen Bruinsma]], [[Alexander Schenkel]], _Linear Yang-Mills theory as a homotopy AQFT_, Commun. Math. Phys. 378, 185–218 (2020) ([arXiv:1906.00999](https://arxiv.org/abs/1906.00999), [doi:10.1007/s00220-019-03640-z](https://doi.org/10.1007/s00220-019-03640-z)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added publication data to:
- Marco Benini, Simen Bruinsma, Alexander Schenkel, Linear Yang-Mills theory as a homotopy AQFT, Commun. Math. Phys. 378, 185–218 (2020) (arXiv:1906.00999, doi:10.1007/s00220-019-03640-z)
diff, v17, current
- CommentRowNumber13.
- CommentAuthorUrs
- CommentTimeAug 9th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * Victor Carmona, *Algebraic Quantum Field Theories: a homotopical view* ([arXiv:2107.14176](https://arxiv.org/abs/2107.14176)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/19">v19</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to:
- Victor Carmona, Algebraic Quantum Field Theories: a homotopical view (arXiv:2107.14176)
diff, v19, current
- CommentRowNumber14.
- CommentAuthorUrs
- CommentTimeAug 25th 2021
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Simen Bruinsma]], [[Christopher J. Fewster]], [[Alexander Schenkel]], *Relative Cauchy evolution for linear homotopy AQFTs* ([arXiv:2108.10592](https://arxiv.org/abs/2108.10592)) <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/20">v20</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to today’s
- Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel, Relative Cauchy evolution for linear homotopy AQFTs (arXiv:2108.10592)
diff, v20, current
- CommentRowNumber15.
- CommentAuthorUrs
- CommentTimeFeb 1st 2022
- PermaLink
Author: Urs
Format: MarkdownItexFor when the editing functionality is back, to add pointer to this recent preprint: * Angelos Anastopoulos, Marco Benini, *Homotopy theory of net representations* ([arXiv:2201.06464](https://arxiv.org/abs/2201.06464))
For when the editing functionality is back, to add pointer to this recent preprint:
- Angelos Anastopoulos, Marco Benini, Homotopy theory of net representations (arXiv:2201.06464)
- CommentRowNumber16.
- CommentAuthorUrs
- CommentTimeAug 10th 2022
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Marco Benini]], [[Victor Carmona]], [[Alexander Schenkel]], *Strictification theorems for the homotopy time-slice axiom* [[arxiv:2208.04344](https://arxiv.org/abs/2208.04344)] <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/23">v23</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to today’s
- Marco Benini, Victor Carmona, Alexander Schenkel, Strictification theorems for the homotopy time-slice axiom [arxiv:2208.04344]
diff, v23, current
- CommentRowNumber17.
- CommentAuthorUrs
- CommentTimeDec 7th 2022
- (edited Dec 7th 2022)
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Marco Benini]], Giorgio Musante, [[Alexander Schenkel]], *Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory* [[arXiv:2212.02546](https://arxiv.org/abs/2212.02546)] <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/24">v24</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to today’s
- Marco Benini, Giorgio Musante, Alexander Schenkel, Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory [arXiv:2212.02546]
diff, v24, current
- CommentRowNumber18.
- CommentAuthorUrs
- CommentTimeMar 16th 2023
- (edited Mar 16th 2023)
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Alexander Schenkel]], *Quantum field theories on Lorentzian manifolds*, talk at *[QFT and Cobordism](https://nyuad.nyu.edu/en/events/2023/march/quantum-field-theories-and-cobordisms.html)*, [[CQTS]] (Mar 2023) [[web](https://ncatlab.org/nlab/show/Center+for+Quantum+and+Topological+Systems#SchenkelMar2023)] <a href="https://ncatlab.org/nlab/revision/diff/homotopical+algebraic+quantum+field+theory/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopical+algebraic+quantum+field+theory/25">v25</a>, <a href="https://ncatlab.org/nlab/show/homotopical+algebraic+quantum+field+theory">current</a>
added pointer to:
- Alexander Schenkel, Quantum field theories on Lorentzian manifolds, talk at QFT and Cobordism, CQTS (Mar 2023) [web]
diff, v25, current

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nLab > Latest Changes: homotopical algebraic quantum field theory