(1,1) non-L-space knots are foliar in 3D space.
problem Proving (1,1) non-L-space knots are foliar.
method Analyzing (1,1) non-L-space knots in and lens spaces.
result (1,1) non-L-space knots are persistently foliar.
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
8 results for “non-L-space”
This paper gives infinitely many examples of non L-space irreducible integer homology 3-spheres whose fundamental groups do not have nontrivial representations.
Let K be a knot in the 3--sphere. An r-surgery on K is left-orderable if the resulting 3--manifold K(r) of the surgery has left-orderable fundamental group, and an r-surgery on K is called an L-space surgery if K(r) is an L-space. A conjecture of Boyer, Gordon and Watson says that non-reducing surgeries on K can be cla…
New foliations found in 3D spaces from positive braids.
problem Finding taut foliations in 3D complements of positive braids.
method Dehn surgery on multislopes for non-split positive braids.
result Non-L-space complements with co-oriented taut foliations.
We construct taut foliations in every closed 3-manifold obtained by -framed Dehn surgery along a positive 3-braid knot in , where and denotes the Seifert genus of . This confirms a prediction of the L-space Conjecture. For instance, we produce taut foliations in every non-L-space obt…
New method constructs actions on R capturing foliations, proving left-orderability.
problem Left-orderability of 3-manifold fundamental groups.
method Constructs actions of π1(M) on R, capturing foliations.
result Proves left-orderability of fundamental groups of 3-manifolds.
We prove the existence of foliations transverse to pseudo-Anosov flows using veering triangulations.
problem Existence of foliations transverse to pseudo-Anosov flows in 3-manifolds.
method Combinatorial approach via veering triangulations and branched surfaces.
result Existence of transverse foliations for certain pseudo-Anosov flows.
The study shows how to create co-orientable taut foliations in specific Dehn fillings.
problem Creating co-orientable taut foliations in Dehn fillings of pseudo-Anosov mapping tori.
method Analyzing the stable foliation and using Dehn filling with specific multislopes.
result Dehn fillings of pseudo-Anosov mapping tori with co-orientation-reversing monodromy admit co-orientable taut foliations.