2021
DOI: 10.1090/tran/8393
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Symmetries of tropical moduli spaces of curves

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Cited by 4 publications
(15 citation statements)
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“…We now prove Theorem 2.11, restated below. We reitirate that its proof is analogous to [Kan,Proposition 3.4].…”
Section: Appendix B Proof Of Theorem 211mentioning
confidence: 67%
See 1 more Smart Citation
“…We now prove Theorem 2.11, restated below. We reitirate that its proof is analogous to [Kan,Proposition 3.4].…”
Section: Appendix B Proof Of Theorem 211mentioning
confidence: 67%
“…When n = 1 we have ∆ 1,w = ∆ 1,1 for any w, and this space is a single point, so the automorphism group is trivial. When n = 2, so w = (w 1 , w 2 ), we have ∆ 1,w ∼ = ∆ 1,2 if w 1 + w 2 > 1, so in this case the automorphism group is trivial by [Kan,Example 2.19]. When w 1 + w 2 ≤ 1, ∆ 1,w will be shown to be trivial in Example 2.10.…”
Section: Introductionmentioning
confidence: 97%
“…When n D 1 we have 1;w D 1;1 for any w, and this space is a single point, so the automorphism group is trivial. When n D 2, so w D .w 1 ; w 2 /, we have 1;w Š 1;2 if w 1 C w 2 > 1, so in this case the automorphism group is trivial by [17,Example 2.19]. When w 1 C w 2 Ä 1, Aut.…”
Section: Tropical Hassett Spaces Excluded By Theorem Xmentioning
confidence: 99%
“…In the special case w D .1 .n/ /, the automorphism group of g;w is known to be S n : this is due to Abreu and Pacini [2] when g D 0, and to the third author [17] in arbitrary genus. Indeed, one of the main technical theorems in [17] is also the driving force behind the calculation in the current paper. The topology of g;w was studied for g Ä 1 by Cerbu et al in [7].…”
Section: Related Workmentioning
confidence: 99%
“…The inclusion property coming from the componentwise relation on weight data was known in other works related to tropical moduli spaces such as [CMP + 20]. The relabeling symmetry in the algebraic set was a well known fact since Hassett published his work [Has03], and again the permutation action was studied in [CMP + 20] on ∆ 0,w for certain particular cases, in [Kan21] for the study of Aut(∆ g,n ) and in [CFGP19] for computing the S n -equivariant cohomology of M g,n . In [Yun21], there are computations for the S n -equivariant rational homology of the tropical moduli spaces ∆ 2,n for n ≤ 8.…”
Section: Introductionmentioning
confidence: 99%