Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Putman, Andrew"'
Autor:
Malestein, Justin, Putman, Andrew
For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower central series.
Comment: 11 pages, 4 figures, minor revision; to appear
Comment: 11 pages, 4 figures, minor revision; to appear
Externí odkaz:
http://arxiv.org/abs/2307.04882
Putman and Wieland conjectured that if $\tilde{\Sigma} \rightarrow \Sigma$ is a finite branched cover between closed oriented surfaces of sufficiently high genus, then the orbits of all nonzero elements of $H_1(\tilde{\Sigma};\mathbb{Q})$ under the a
Externí odkaz:
http://arxiv.org/abs/2305.13109
Autor:
Putman, Andrew
We prove that in a stable range, the rational cohomology of the moduli space of curves with level structures is the same as that of the ordinary moduli space of curves.
Comment: 56 pages, 25 figures; minor revision, submitted version
Comment: 56 pages, 25 figures; minor revision, submitted version
Externí odkaz:
http://arxiv.org/abs/2209.06183
Publikováno v:
Int. Math. Res. Not. (2023), no. 22, 19020-19068
Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for $\text{Aut}(F_n)$, at least for $n = 5$.
Comment: 30 pages, minor revision; to appear in IMRN
Comment: 30 pages, minor revision; to appear in IMRN
Externí odkaz:
http://arxiv.org/abs/2203.03102
Autor:
Putman, Andrew
We introduce a new method for proving twisted homological stability, and use it to prove such results for symmetric groups and general linear groups. In addition to sometimes slightly improving the stable range given by the traditional method (due to
Externí odkaz:
http://arxiv.org/abs/2109.14015
Autor:
Putman, Andrew, Snowden, Andrew
Publikováno v:
Duke Math. J. 172 (2023), no. 4, 775-808
We prove that the Steinberg representation of a connected reductive group over an infinite field is irreducible. For finite fields, this is a classical theorem of Steinberg and Curtis.
Comment: 28 pages, major revision, to appear in Duke Math. J
Comment: 28 pages, major revision, to appear in Duke Math. J
Externí odkaz:
http://arxiv.org/abs/2107.00794
Autor:
Putman, Andrew
Publikováno v:
Enseign. Math. 68 (2022), no. 3-4, 389-408
A beautifully simple free generating set for the commutator subgroup of a free group was constructed by Tomaszewski. We give a new geometric proof of his theorem, and show how to give a similar free generating set for the commutator subgroup of a sur
Externí odkaz:
http://arxiv.org/abs/2101.05905
Publikováno v:
Trans. Amer. Math. Soc. 376 (2023), 2557-2572
Let $M_n$ be the connect sum of $n$ copies of $S^2 \times S^1$. A classical theorem of Laudenbach says that the mapping class group $\text{Mod}(M_n)$ is an extension of $\text{Out}(F_n)$ by a group $(\mathbb{Z}/2)^n$ generated by sphere twists. We pr
Externí odkaz:
http://arxiv.org/abs/2012.01529
Autor:
Putman, Andrew, Sam, Steven V
Publikováno v:
Selecta Math. (N.S.) 28 (2022), no. 5, Paper No. 88
For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$. As an app
Externí odkaz:
http://arxiv.org/abs/2005.07246
We give two proofs that appropriately defined congruence subgroups of the mapping class group of a surface with punctures/boundary have enormous amounts of rational cohomology in their virtual cohomological dimension. In particular we give bounds tha
Externí odkaz:
http://arxiv.org/abs/2003.10913