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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.

168,738 papers · 148 categories

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0111 · Jul 201719922001200920172026
2 results for “PL-disks”
A note on PL-disks and rationally slice knotsmath.GT

New examples show non-locally-flat PL-disk bounds in rational homology balls but not in integer homology balls.

problem Characterizing knots that bound PL-disks in integer homology balls.
method Involutive Heegaard Floer homology formal properties.
result Found infinitely many manifold-knot pairs (Y, J) where J does not bound a PL-disk in an integer homology ball but does in a rational homology ball.
PL-disksrational homology ballsknotsHeegaard Floer homologyinvolutive structures
2021-07-19abs ↗pdf ↗
A Note on Knot Concordancemath.GT

We use classical techniques to answer some questions raised by Daniele Celoria about almost-concordance of knots in arbitrary closed 33-manifolds. We first prove that, given Y3≠S3Y^3 \neq S^3, for any non-trivial element g∈π1(Y)g\in π_1(Y) there are infinitely many distinct smooth almost-concordance classes in the free homoto…

2017-07-06abs ↗pdf ↗