Zobrazeno 1 - 10
of 159 493
pro vyhledávání: '"álgebra"'
Autor:
Chen, Qingtao, Zhu, Shengmao
This is the third article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this paper, by using the saddle point method developed by Ohtsuki and Yokota, we obtain an asymptotic
Externí odkaz:
http://arxiv.org/abs/2410.14661
Let $W$ be a finite group generated by reflections of a lattice $M$. If a lattice polytope $P \subset M \otimes_{\mathbb Z}\mathbb R$ is preserved by $W$, then we show that the quotient of the projective toric variety $X_P$ by $W$ is isomorphic to th
Externí odkaz:
http://arxiv.org/abs/2410.14653
Steffen's polyhedron was believed to have the least number of vertices among polyhedra that can flex without self-intersections. Maksimov clarified that the pentagonal bipyramid with one face subdivided into three is the only polyhedron with fewer ve
Externí odkaz:
http://arxiv.org/abs/2410.13811
Autor:
Garcia-Sanchez, Pedro A.
Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}
Externí odkaz:
http://arxiv.org/abs/2410.13729
Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalism
We prove that normalized colored Alexander polynomial (the $A \rightarrow 1$ limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scaling property: it is equal to the fundamental Alexander polynomial with
Externí odkaz:
http://arxiv.org/abs/2410.13676
Autor:
Orr, Daniel, Weising, Milo Bechtloff
The modified Macdonald functions $\widetilde{H}_{\mu}$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the $(\mathbb{C}^{*})^2$-fixed points $I_{\mu}$ of the Hilbert schemes $\mathrm{Hil
Externí odkaz:
http://arxiv.org/abs/2410.13642
Autor:
Sinha, Shashi Ranjan
Celikbas, Liang and Sadeghi established a one-sided inequality for the relative version of Jorgensen's dependency formula and questioned whether it would be an equality. In this paper, we show that the inequality can be indeed strict, and prove a rel
Externí odkaz:
http://arxiv.org/abs/2410.13239
In this paper, we investigate problems concerning when the residue field $k$ of a local ring $(R,\frak m$, $k)$ appears as a direct summand of syzygy modules, from two perspectives. First, we prove that the following conditions are equivalent: (i) $k
Externí odkaz:
http://arxiv.org/abs/2410.12227
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we study the differential smoothness of diffusion algebras.
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Externí odkaz:
http://arxiv.org/abs/2410.12701
Autor:
Liang, Bingbing, Yan, Kesong
We investigate the dynamical property of the naive mean dimension for continuous actions of any countable group on compact metrizable spaces. It is shown that naive mean dimension serves as an upper bound of sofic mean dimension for actions of noname
Externí odkaz:
http://arxiv.org/abs/2410.12528