4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.GT2021★ 1 cited
Bordered Floer homology with integral coefficients for manifolds with torus boundary
Douglas Knowles, Ina Petkova
We provide a combinatorial definition of a bordered Floer theory with coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinat…
math.GT2018★ 3 cited
Space-Efficient Knot Mosaics for Prime Knots with Mosaic Number 6
Aaron Heap, Douglas Knowles
In 2008, Kauffman and Lomonaco introduce the concepts of a knot mosaic and the mosaic number of a knot or link, the smallest integer such that a knot or link can be represented…
math.GT2017★ 4 cited
Tile Number and Space-Efficient Knot Mosaics
Aaron Heap, Douglas Knowles
In this paper we introduce the concept of a space-efficient knot mosaic. That is, we seek to determine how to create knot mosaics using the least number of non-blank tiles necessar…