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Now showing items 21-26 of 26
Article
Limits of sequences of Pseudo-Anosov maps and of hyperbolic 3–manifolds
(MSP, 2021-08-11)
There are two objects naturally associated with a braid β∈Bn of pseudo-Anosov type: a (relative) pseudo-Anosov homeomorphism φβ:S2→S2; and the finite-volume complete hyperbolic structure on the 3–manifold Mβ obtained by ...
Article
Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
(Académie des Sciences, 2023-01-26)
We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coefficients. Explicitly, our main result ...
Article
Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations
(Elsevier, 2020-01)
Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of Hasse–Schmidt derivations of A over k and we prove that, under suitable smoothness hypotheses, the ...
Article
Khovanov homotopy type, periodic links and localizations
(Springer, 2021)
Given an m-periodic link L ⊂ S3, we show that the Khovanov spectrum XL con structed by Lipshitz and Sarkar admits a group action. We relate the Borel cohomology of XL to the equivariant Khovanov homology of L constructed ...
Article
Parabolic subgroups of large-type Artin groups
(Cambridge University Press, 2022-09-12)
We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic geometry. We use this geometry to show that the set of parabolic subgroups of a large-type Artin ...
Article
On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
(Springer Nature, 2023-08-10)
Given two holomorphic functions f and g defined in two respective germs of complex analytic manifolds (X, x) and (Y, y), we know thanks to M. Saito that, as long as one of them is Euler homogeneous, the reduced (or microlocal) ...