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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

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5 results for “flow-spines”
Positive flow-spines and contact 3-manifoldsmath.GT

Paper proves unique contact structure supported by positive flow-spines.

problem Existence and uniqueness of contact structures on 3-manifolds.
method Introduces positivity condition for flow-spines and proves existence and uniqueness of contact structures.
result Any positive flow-spine of a closed, connected, oriented 3-manifold supports a unique contact structure up to isotopy.
contact structuresflow-spines3-manifoldspositivityThurston-Winkelnkemper
2019-12-12abs ↗pdf ↗
S-stable foliations on flow-spines with transverse Reeb flowmath.GT

Paper proves S-stability of foliations on flow-spines with transverse Reeb flow.

problem Characterizing S-stable foliations on flow-spines with transverse Reeb flow.
method Introduced S-stability for foliations on branched simple polyhedrons and proved stability for 1-forms with dβ>0dβ>0.
result Proved the number of simple tangency points of an S-stable foliation on a flow-spine is at least 2.
foliationsflow-spinesS-stabletransverse Reeb flow3-manifolds
2020-02-21abs ↗pdf ↗
Properly immersed curves in arbitrary surfaces via apparent contours on spines of traversing flowsmath.GT

The paper studies curves in surfaces using flow-spines and apparent contours.

problem Understanding curves in arbitrary surfaces using flow-spines and apparent contours.
method By considering generic curves and their apparent contours relative to a traversing flow, the paper reconstructs curves and allows them to vary up to homotopy.
result A finite set of local moves on decorated graphs allows for the reconstruction and variation of curves within a fixed generic flow.
curvessurfacesflow-spinesapparent contourshomotopy
2023-11-13abs ↗pdf ↗