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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 21st 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare list of references, to be `!include`-ed both at *[[braid group]]* and at *[[topological quantum computation]]*, for ease of updating <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   a bare list of references, to be !include-ed both at braid group and at topological quantum computation, for ease of updating

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 23rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Colleen Delaney]], *Lecture notes on modular tensor categories and braid group representations*, 2019 ([pdf](http://web.math.ucsb.edu/~cdelaney/MTC_Notes.pdf), [[DelaneyModularTensorCategories.pdf:file]]) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/3">v3</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Colleen Delaney, Lecture notes on modular tensor categories and braid group representations, 2019 (pdf, DelaneyModularTensorCategories.pdf:file)

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Ivan Marin]], *On the representation theory of braid groups*, Annales mathématiques Blaise Pascal, **20** 2 (2013) 193-260 ([arXiv:math/0502118](https://arxiv.org/abs/math/0502118), [dml:275607](https://eudml.org/doc/275607)) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/4">v4</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Ivan Marin, On the representation theory of braid groups, Annales mathématiques Blaise Pascal, 20 2 (2013) 193-260 (arXiv:math/0502118, dml:275607)

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Alejandro Adem]], [[Daniel C. Cohen]], [[Frederick R. Cohen]], *On representations and K-theory of the braid groups*, Math. Ann. **326** (2003) 515-542 ([arXiv:math/0110138](https://arxiv.org/abs/math/0110138), [doi:10.1007/s00208-003-0435-8](https://doi.org/10.1007/s00208-003-0435-8)) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/4">v4</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Alejandro Adem, Daniel C. Cohen, Frederick R. Cohen, On representations and K-theory of the braid groups, Math. Ann. 326 (2003) 515-542 (arXiv:math/0110138, doi:10.1007/s00208-003-0435-8)

   diff, v4, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeDec 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Toshitake Kohno]], *Introduction to representation theory of braid groups*, Peking 2018 ([pdf](https://www.math.pku.edu.cn/misc/puremath/summerschool/Peking_SummerSchool_kohno.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/4">v4</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Toshitake Kohno, Introduction to representation theory of braid groups, Peking 2018 (pdf)

   diff, v4, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 23rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Louis H. Kauffman]], [[Samuel J. Lomonaco]], *Topological quantum computing and $SU(2)$ braid group representations*, Proceedings Volume 6976, Quantum Information and Computation VI; 69760M (2008) ([doi:10.1117/12.778068](https://doi.org/10.1117/12.778068)) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/5">v5</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Louis H. Kauffman, Samuel J. Lomonaco, Topological quantum computing and $SU(2)$ braid group representations, Proceedings Volume 6976, Quantum Information and Computation VI; 69760M (2008) (doi:10.1117/12.778068)

   diff, v5, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeDec 23rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this reference: * [[Colleen Delaney]], [[Eric C. Rowell]], [[Zhenghan Wang]], *Local unitary representations of the braid group and their applications to quantum computing*, Revista Colombiana de Matemáticas(2017), 50 (2):211 ([arXiv:1604.06429](https://arxiv.org/abs/1604.06429), [doi:10.15446/recolma.v50n2.62211](http://dx.doi.org/10.15446/recolma.v50n2.62211)) <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/7">v7</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added this reference:

   • Colleen Delaney, Eric C. Rowell, Zhenghan Wang, Local unitary representations of the braid group and their applications to quantum computing, Revista Colombiana de Matemáticas(2017), 50 (2):211 (arXiv:1604.06429, doi:10.15446/recolma.v50n2.62211)

   diff, v7, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeSep 9th 2022
   • (edited Sep 9th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's: * Indrajit Jana, Filippo Montorsi, Pramod Padmanabhan, Diego Trancanelli, *Topological Quantum Computation on Supersymmetric Spin Chains* $[$[arXiv:2209.03822](https://arxiv.org/abs/2209.03822)$]$ <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/10">v10</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to today’s:

   • Indrajit Jana, Filippo Montorsi, Pramod Padmanabhan, Diego Trancanelli, Topological Quantum Computation on Supersymmetric Spin Chains $[$arXiv:2209.03822$]$

   diff, v10, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeFeb 13th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Chen Ning Yang]], M. L. Ge (eds.). *Braid Group, Knot Theory and Statistical Mechanics*, Advanced Series in Mathematical Physics **9**, World Scientific (1991) &lbrack;[doi:10.1142/0796](https://doi.org/10.1142/0796)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/13">v13</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

   added pointer to:

   • Chen Ning Yang, M. L. Ge (eds.). Braid Group, Knot Theory and Statistical Mechanics, Advanced Series in Mathematical Physics 9, World Scientific (1991) [doi:10.1142/0796]

   diff, v13, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 25th 2023
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded publication data to this item: * Xia Gu, [[Babak Haghighat]], Yihua Liu, *Ising- and Fibonacci-Anyons from KZ-equations*, Journal of High Energy Physics **2022** 15 (2022) $[$[arXiv:2112.07195](https://arxiv.org/abs/2112.07195), <a href="https://doi.org/10.1007/JHEP09(2022)015">doi:10.1007/JHEP09(2022)015</a>$]$ <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/14">v14</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

    added publication data to this item:

    • Xia Gu, Babak Haghighat, Yihua Liu, Ising- and Fibonacci-Anyons from KZ-equations, Journal of High Energy Physics 2022 15 (2022) $[$arXiv:2112.07195, doi:10.1007/JHEP09(2022)015$]$

    diff, v14, current

11. • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeApr 4th 2023
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's: * David Lovitz, *Universal Braiding Quantum Gates* &lbrack;[arXiv:2304.00710](https://arxiv.org/abs/2304.00710)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/braid+group+representations+--+references/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/braid+group+representations+--+references/15">v15</a>, <a href="https://ncatlab.org/nlab/show/braid+group+representations+--+references">current</a>

    added pointer to today’s:

    • David Lovitz, Universal Braiding Quantum Gates [arXiv:2304.00710]

    diff, v15, current