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1. • CommentRowNumber1.
   • CommentAuthorperezl.alonso
   • CommentTimeAug 6th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexIs there a particular reference where these (or rather, their [[supergroup|super]] analogs) are computed for [[super Riemann surface|super Riemann surfaces]]? <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/19">v19</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   Is there a particular reference where these (or rather, their super analogs) are computed for super Riemann surfaces?

   diff, v19, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 23rd 2025
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Henry Wilton]]: *Mapping class groups*, lecture notes (2021) &lbrack;[pdf](https://www.dpmms.cam.ac.uk/~hjrw2/MCG%20lectures.pdf), examples: 1:[pdf](https://www.dpmms.cam.ac.uk/~hjrw2/MCGs%20Sheet%201.pdf), 2:[pdf](https://www.dpmms.cam.ac.uk/~hjrw2/MCGs%20Sheet%202.pdf), 3:[pdf](https://www.dpmms.cam.ac.uk/~hjrw2/MCGs%20Sheet%203.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/26">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/26">v26</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   added pointer to:

   • Henry Wilton: Mapping class groups, lecture notes (2021) [pdf, examples: 1:pdf, 2:pdf, 3:pdf]

   diff, v26, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 12th 2025
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Shigeyuki Morita]]: *Structure of the mapping class groups of surfaces: a survey and a prospect*, Geom. Topol. Monogr. **2** (1999) 349-406 &lbrack;[arXiv:math/9911258](https://arxiv.org/abs/math/9911258), [pdf](https://msp.org/gtm/1999/02/gtm-1999-02-020p.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/31">v31</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   added pointer to:

   • Shigeyuki Morita: Structure of the mapping class groups of surfaces: a survey and a prospect, Geom. Topol. Monogr. 2 (1999) 349-406 [arXiv:math/9911258, pdf]

   diff, v31, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMar 13th 2025
   • (edited Mar 13th 2025)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/mapping+class+group#MCGOfClosedOrientedSurfaces)) brief statement of the relation of the MCG of a closed oriented surface to the integer symplectic group and the [[Torelli group]] <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/34">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/34">v34</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   added (here) brief statement of the relation of the MCG of a closed oriented surface to the integer symplectic group and the Torelli group

   diff, v34, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 5th 2025
   • (edited Apr 5th 2025)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/mapping+class+group#MappingClassGroupsOfNPuncturedSpheres)) statement of mapping class groups of $n$ punctured spheres, for $n \in \{0,1,2,3,4\}$ <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/36">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/36">v36</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   added (here) statement of mapping class groups of punctured spheres, for

   diff, v36, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMay 5th 2025
   • (edited May 5th 2025)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers: * [[Benson Farb]] (ed.): *Problems on Mapping Class Groups and Related Topics*, Proceedings of Symposia in pure Mathematics **74**, American Mathematical Society (2006) &lbrack;[ISBN:978-0-8218-3838-9](https://bookstore.ams.org/view?ProductCode=PSPUM/74)[pdf](https://www.math.uchicago.edu/~farb/papers/mcgbook.pdf)&rbrack; * [[Nikolai V. Ivanov]]: *Fifteen problems about the mapping class groups*, chapter 4 in [Farb 2006](https://ncatlab.org/nlab/show/mapping+class+group#Farb06), AMS (2006) 74-84 &lbrack;[arXiv:math/0608325](https://arxiv.org/abs/math/0608325)&rbrack; * *Ivanov's metaconjecture on surface homeomorphisms*, MO discussion (2015) &lbrack;[MO:q/200413](https://mathoverflow.net/q/200413/381)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/mapping+class+group/39">diff</a>, <a href="https://ncatlab.org/nlab/revision/mapping+class+group/39">v39</a>, <a href="https://ncatlab.org/nlab/show/mapping+class+group">current</a>

   added these pointers:

   • Benson Farb (ed.): Problems on Mapping Class Groups and Related Topics, Proceedings of Symposia in pure Mathematics 74, American Mathematical Society (2006) [ISBN:978-0-8218-3838-9pdf]

   • Nikolai V. Ivanov: Fifteen problems about the mapping class groups, chapter 4 in Farb 2006, AMS (2006) 74-84 [arXiv:math/0608325]

   • Ivanov’s metaconjecture on surface homeomorphisms, MO discussion (2015) [MO:q/200413]

   diff, v39, current