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.
New framework for sutured manifolds using handleslides and Heegaard invariants.
The paper verifies stable handleslide triviality of some R-links and shows many are stably equivalent.
Researchers debunk a generalized Property R conjecture for 2-component links.
A -tuple of disjoint, linearly independent circles in a Riemann surface of genus determines a `Heegaard torus' in its -fold symmetric product. Changing the circles by a handleslide produces a new torus. It is proved that, for symplectic forms with certain properties, these two tori are Hamiltonian-isotopic La…
We study embedded spheres in 4-manifolds (2-knots) via doubly pointed trisection diagrams, showing that such descriptions are unique up to stabilization and handleslides, and we describe how to obtain trisection diagrams for certain cut-and-paste operations along 2-knots directly from doubly pointed trisection diagrams…
In the author's earlier work there appeared a new way to specify any smooth closed 4-manifold by a surface diagram, which consists of an orientable surface decorated with simple closed curves. These curves are cyclically indexed, and each curve has a unique transverse intersection with the next. Each surface diagram co…
The purpose of this paper is to study geometrically simply-connected homotopy 4-spheres by analyzing -component links with a Dehn surgery realizing . We call such links R-links. Our main result is that a homotopy 4-sphere that can be built without 1-handles and with only two 2-handles is diff…