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]
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
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]
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
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
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
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]
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
AMSLaTeX+epic.sty+eepic.sty, 7 ...
openaire +3 more sources
Polynomial invariants for SU(2) monopoles [PDF]
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
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

