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of 192
pro vyhledávání: '"Chan, Melody"'
We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly supported rational cohomology of the moduli space of principally polarized abelian varieties. By relating the primitives for the coproduct to graph cohomology, w
Externí odkaz:
http://arxiv.org/abs/2405.11528
We construct, for all $g\geq 2$ and $n\geq 0$, a spectral sequence of rational $S_n$-representations which computes the $S_n$-equivariant reduced rational cohomology of the tropical moduli spaces of curves $\Delta_{g,n}$ in terms of compactly support
Externí odkaz:
http://arxiv.org/abs/2307.01960
For $g\ge 2$ and $n\ge 0$, let $\mathcal{H}_{g,n}\subset \mathcal{M}_{g,n}$ denote the complex moduli stack of $n$-marked smooth hyperelliptic curves of genus $g$. A normal crossings compactification of this space is provided by the theory of pointed
Externí odkaz:
http://arxiv.org/abs/2307.01819
Publikováno v:
In Clinical Neurophysiology July 2024 163:56-67
We obtain new calculations of the top weight rational cohomology of the moduli spaces $\mathcal{M}_{2,n}$, equivalently the rational homology of the tropical moduli spaces $\Delta_{2,n}$, as a representation of $S_n$. These calculations are achieved
Externí odkaz:
http://arxiv.org/abs/2109.03302
Autor:
Brandt, Madeline, Bruce, Juliette, Chan, Melody, Melo, Margarida, Moreland, Gwyneth, Wolfe, Corey
We compute the top-weight rational cohomology of $A_g$ for $g=5$, $6$, and $7$, and we give some vanishing results for the top-weight rational cohomology of $A_8, A_9,$ and $ A_{10}$. When $g=5$ and $g=7$, we exhibit nonzero cohomology groups of $A_g
Externí odkaz:
http://arxiv.org/abs/2012.02892
Autor:
Chan, Melody M.Y., Choi, Coco X.T., Tsoi, Tom C.W., Shea, Caroline K.S., Yiu, Klaire W.K., Han, Yvonne M.Y.
Publikováno v:
In Brain Stimulation November-December 2023 16(6):1604-1616
Autor:
Chan, Melody, Pflueger, Nathan
We give a combinatorial expansion of the stable Grothendieck polynomials of skew Young diagrams in terms of skew Schur functions, using a new row insertion algorithm for set-valued semistandard tableaux of skew shape. This expansion unifies some prev
Externí odkaz:
http://arxiv.org/abs/1909.12833
Autor:
Chan, Melody, Pflueger, Nathan
A Richardson variety in a flag variety is an intersection of two Schubert varieties defined by transverse flags. We define and study relative Richardson varieties, which are defined over a base scheme with a vector bundle and two flags. To do so, we
Externí odkaz:
http://arxiv.org/abs/1909.12414
We prove a formula, conjectured by Zagier, for the $S_n$-equivariant Euler characteristic of the top weight cohomology of $M_{g,n}$.
Comment: 28 pages, 5 figures; v3: minor revisions, final version to appear in Amer. J. Math
Comment: 28 pages, 5 figures; v3: minor revisions, final version to appear in Amer. J. Math
Externí odkaz:
http://arxiv.org/abs/1904.06367