We construct graph-valued analogues of the Kuperberg sl(3) and G2 invariants for virtual knots. The restriction of the sl(3) or G2 invariants for classical knots coincides with the usual Homflypt sl(3) invariant and G2 invariants. For virtual knots and graphs these invariants provide new graphical information that allo…
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
168,742 papers · 148 categories
Trend · papers per month
3 results for “G2-invariant”
Study of zero-divisors in sedenions via determinant factorization.
problem Characterizing zero-divisors in the sedenion algebra.
method Factorization of determinant of left multiplication, reduction to quaternionic normal form, block computation.
result Quartic polynomial factorization of determinant, geometric model of zero-divisor locus.
Study of polynomial almost-complex curves in a specific space.
problem Understanding polynomial almost-complex curves in a particular geometric space.
method Analyzing solutions to the g2 affine Toda field equations with polynomial holomorphic sextic differentials.
result The asymptotic boundary of the curves forms a polygon with an annihilator property related to a G2' invariant metric.