Results 21 to 30 of about 83,573 (332)

All metrics have curvature tensors characterised by its invariants as a limit: the \epsilon-property [PDF]

open access: yes, 2011
We prove a generalisation of the $\epsilon$-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is a frame such that the components of the curvature tensors can ...
Cartan E   +9 more
core   +2 more sources

Automating the calculation of the Hilbert–Kunz multiplicity and F-signature

open access: yesSoftwareX, 2019
The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection
Gabriel Johnson, Sandra Spiroff
doaj   +1 more source

Coloring Rings in Species [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
We present a generalization of the chromatic polynomial, and chromatic symmetric function, arising in the study of combinatorial species. These invariants are defined for modules over lattice rings in species.
Jacob White
doaj   +1 more source

Multilocal invariants for the classical groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
doaj   +1 more source

Revisiting the Melvin-Morton-Rozansky expansion, or there and back again

open access: yesJournal of High Energy Physics, 2020
Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials ...
Sibasish Banerjee   +2 more
doaj   +1 more source

New Invariants of Knotoids

open access: yes, 2017
In this paper we construct new invariants of knotoids including the odd writhe, the parity bracket polynomial, the affine index polynomial and the arrow polynomial, and give an introduction to the theory of virtual knotoids.
Gügümcü, Neslihan, Kauffman, Louis H.
core   +1 more source

Degree bound for separating invariants of abelian groups [PDF]

open access: yes, 2016
It is proved that the universal degree bound for separating polynomial invariants of a finite abelian group (in non-modular characteristic) is strictly smaller than the universal degree bound for generators of polynomial invariants, unless the goup is ...
Domokos, M.
core   +2 more sources

Polynomial invariants are polynomial

open access: yesMathematical Research Letters, 1995
AMSLaTeX+epic.sty+eepic.sty, 7 ...
openaire   +3 more sources

Polynomial invariants for SU(2) monopoles [PDF]

open access: yesNuclear Physics B, 1995
50 pages, uses phyzzx.tex, a minor tex problem has been ...
Labastida, J. M. F., Mariño, M.
openaire   +3 more sources

Hilbert polynomials of the algebras of $SL_ 2$-invariants

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
doaj   +1 more source

Home - About - Disclaimer - Privacy