Výsledky vyhledávání - "Minahan, Daniel"

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Autor: Booth, Katherine Williams, Minahan, Daniel, Shapiro, Roberta

The fine 1-curve graph of a surface is a graph whose vertices are simple closed curves on the surface and whose edges connect vertices that intersect in at most one point. We show that the automorphism group of the fine 1-curve graph is naturally iso

Externí odkaz: http://arxiv.org/abs/2309.16041

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The second rational homology of the Torelli group is finitely generated

Autor: Minahan, Daniel

We prove that second rational homology of the Torelli group of an orientable closed surface of genus g is finite dimensional for g at least 51. This rules out the simplest obstruction to the Torelli group being finitely presented and provides a parti

Externí odkaz: http://arxiv.org/abs/2307.07082

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The acyclicity of the complex of homologous curves

Autor: Minahan, Daniel

We show that the complex of homologous curves of a closed, oriented surface of genus g is (g-3)--acyclic.
Comment: Added citations of related work of Looijenga. Added a discussion in the introduction regarding the relationship between the result

Externí odkaz: http://arxiv.org/abs/2305.12548

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The cohomological dimension of the terms of the Johnson filtration

Autor: Minahan, Daniel

We prove that the $k$th term of the Johnson filtration of a closed, orientable surface of genus $g \geq 2$ has cohomological dimension $2g - 3$ for all $k \geq 3$ and $g \geq 2$. This answers a question of Farb and Bestvina--Bux--Margalit.
Comme

Externí odkaz: http://arxiv.org/abs/2301.06175

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All lines on a smooth cubic surface in terms of three skew lines

Autor: McKean, Stephen, Minahan, Daniel, Zhang, Tianyi

Publikováno v: New York J. Math. 27(1), 1305 -- 1327 (2021)

Jordan showed that the incidence variety of a smooth cubic surface containing 27 lines has solvable Galois group over the incidence variety of a smooth cubic surface containing 3 skew lines. As noted by Harris, it follows that for any smooth cubic su

Externí odkaz: http://arxiv.org/abs/2002.10367

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