We construct a series of homomorphisms from the -filtration on the monoid of homology cylinders to torsion modules via the mod reduction of the LMO functor. The restriction of our homomorphism to the lower central series of the Torelli group does not factor through Morita's refinement of the Johnson hom…
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.
168,657 papers · 148 categories
Trend · papers per month
3 results for “Y-filtration”
Torsion elements in the associated graded of the -filtration of the monoid of homology cylindersmath.GT
This paper detects torsion elements in homology cylinder monoids.
problem Detecting torsion elements in the associated graded of the Y-filtration of homology cylinders.
method Introduced a homomorphism induced by the LMO functor to detect torsion elements.
result Every non-trivial torsion element in has order 3.
Let S be a compact connected oriented surface, whose boundary is connected or empty. A homology cylinder over the surface S is a cobordism between S and itself, homologically equivalent to the cylinder over S. The Y-filtration on the monoid of homology cylinders over S is defined by clasper surgery. Using a functorial …