Timeline for Products of Conjugacy Classes in S_n
Current License: CC BY-SA 3.0
4 events
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| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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| Apr 19, 2011 at 16:33 | comment | added | Paul Johnson | Taking $\mu=\nu$ and then summing over all $\mu$ has connections to covers of a genus 1 curve, rather than a sphere -- essentially, you're degenerating a loop in the torus to a point, or cutting it along the loop, to get a sphere with two punctures. You dont' know what the original monodromy was around the loop you cut (summing over all of them), but to glue together you need them to be the same ($\mu=\nu$). Dijkgraaf connects with modular forms: citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.4194 Mike Roth has a gentle intro mast.queensu.ca/~mikeroth/notes/covers.pdf | |
| Apr 19, 2011 at 15:27 | comment | added | john mangual | Well, I had wanted the case that $\mu, \nu$ are the same. And I needed to sum over all conjugacy classes. It's possible, that since generic singuarities of curves will be double-points, all I need are products of transpositions. These papers will make interesting reading and I'll work with them. | |
| Apr 19, 2011 at 13:40 | history | answered | David E Speyer | CC BY-SA 3.0 |