11 papers
Searching for -holomorphic curves via machine: first steps
James Rowan, Yuan Yao
We assemble numerical algorithms to search for -holomorphic curves in symplectic manifolds. Each algorithm employs several different numerical techniques, each technique address…
Fixed Point Floer Cohomology of Dehn Twists I: Splitting Formulas
Maxim Jeffs, Yuan Yao, Ziwen Zhao
This paper is the first in a series following on our earlier work [arXiv:2205.14516, arXiv:2307.08180] studying the pair-of-pants product on fixed point Floer cohomology. In [arXiv…
Thouless pumps and universal geometry-induced drift velocity in multi-sliding quasi-periodic lattices
Zixun Xu, Yuan Yao
Quantized Thouless pumps in periodic systems, set by Chern numbers or Wannier-center winding, is by now fairly well established, whereas its quasi-periodic extensions still require…
Fine Mixed Subdivisions of a Dilated Triangle
Yuan Yao, Fedir Yudin
An upward equilateral triangle of side can be partitioned into unit upward equilateral triangles and unit rhombi with and angl…
Spectral conditions for spherical two-distance sets
Iliyas Noman, Yuan Yao
A set of points in -dimensional Euclidean space is called a 2-distance set if the set of pairwise distances between the points has cardinality two. The 2-dist…
Linkage Axioms for Generic Tropical Oriented Matroids
Yuan Yao
We present a comprehensive overview of Ardila and Develin's (generic) tropical oriented matroids, as well as many related objects and their axiomatics. Moreover, we use a unifying…