Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Deloup, Florian"'
Autor:
Deloup, Florian L.
It is known that an abelian group $A$ and a $2$-cocycle $c:A \times A \to C$ yield a group ${\mathscr{H}}(A,C,c)$ which we call a Heisenberg group. This group, a central extension of $A$, is the archetype of a class~$2$ nilpotent group. In this note,
Externí odkaz:
http://arxiv.org/abs/2409.03399
Autor:
Bonfante, Guillaume, Deloup, Florian
The article continues our study of the genus of a regular language $L$, defined as the minimal genus among all genera of all finite deterministic automata recognizing $L$. Here we define and study two closely related tools on a directed graph: direct
Externí odkaz:
http://arxiv.org/abs/2109.05735
Autor:
Bonfante, Guillaume, Deloup, Florian
Publikováno v:
In Theoretical Computer Science 24 June 2024 1000
Autor:
Bonfante, Guillaume, Deloup, Florian
Publikováno v:
Math. Struct. Comp. Sci. 29 (2019) 1428-1443
The article continues the study of the genus of regular languages that the authors introduced in a 2012 paper. Generalizing a previous result, we produce a new family of regular languages on a two-letter alphabet having arbitrary high genus. Let $L$
Externí odkaz:
http://arxiv.org/abs/1511.09405
Autor:
Bonfante, Guillaume, Deloup, Florian
The article defines and studies the genus of finite state deterministic automata (FSA) and regular languages. Indeed, a FSA can be seen as a graph for which the notion of genus arises. At the same time, a FSA has a semantics via its underlying langua
Externí odkaz:
http://arxiv.org/abs/1301.4981
Autor:
Deloup, Florian, Turaev, Vladimir
We prove a reciprocity formula between Gauss sums that is used in the computation of certain quantum invariants of 3-manifolds. Our proof uses the discriminant construction applied to the tensor product of lattices.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/math/0512050
Autor:
Deloup, Florian
Publikováno v:
Algebr. Geom. Topol. 5 (2005) 419-442
A linking pairing is a symetric bilinear pairing lambda: GxG --> Q/Z on a finite abelian group. The set of isomorphism classes of linking pairings is a non-cancellative monoid E under orthogonal sum, which is infinitely generated and infinitely relat
Externí odkaz:
http://arxiv.org/abs/math/0503265
Autor:
Deloup, Florian
The braid group $B_{n}$, endowed with Artin's presentation, admits two distinguished involutions. One is the anti-automorphism ${\rm{rev}}: B_{n} \to B_{n}$, $v \mapsto \bar{v}$, defined by reading braids in the reverse order (from right to left inst
Externí odkaz:
http://arxiv.org/abs/math/0410275
Autor:
Deloup, Florian, Massuyeau, Gwenael
Publikováno v:
J. Pure Applied Algebra 198:1-3 (2005) 105-121
We investigate classification results for general quadratic functions on torsion abelian groups. Unlike the previously studied situations, general quadratic functions are allowed to be inhomogeneous or degenerate. We study the discriminant constructi
Externí odkaz:
http://arxiv.org/abs/math/0301040
Autor:
Deloup, Florian, Massuyeau, Gwenael
Publikováno v:
Geom. Topol. 7 (2003) 773-787
Given an oriented rational homology 3-sphere M, it is known how to associate to any Spin^c-structure \sigma on M two quadratic functions over the linking pairing. One quadratic function is derived from the reduction modulo 1 of the Reidemeister-Turae
Externí odkaz:
http://arxiv.org/abs/math/0301041