56 citations · 226 across the 41 of their papers we have counts for
10 papers · 1 filter
Integral points and volume of integral-integral affine manifolds
Oded Elisha, Yael Karshon, Yiannis Loizides
We give an elementary proof that, for a closed manifold with an integral-integral affine structure, its total volume and number of integral points coincide. The proof uses rational…
Vector Fields and Flows on Subcartesian Spaces
Yael Karshon, Eugene Lerman
This paper is part of a series of papers on differential geometry of -ringed spaces. In this paper, we study vector fields and their flows on a class of singular spaces.…
Smooth maps on convex sets
Yael Karshon, Jordan Watts
There are several notions of a smooth map from a convex set to a cartesian space. Some of these notions coincide, but not all of them do. We construct a real-valued function on a c…
Quasifold groupoids and diffeological quasifolds
Yael Karshon, David Miyamoto
Quasifolds are spaces that are locally modelled by quotients of by countable affine group actions. These spaces first appeared in Elisa Prato's generalization of the…
Diffeological submanifolds and their friends
Yael Karshon, David Miyamoto, Jordan Watts
A smooth manifold hosts different types of submanifolds, including embedded, weakly-embedded, and immersed submanifolds. The notion of an immersed submanifold requires additional s…
Diffeological, Frölicher, and Differential Spaces
Augustin Batubenge, Yael Karshon, Jordan Watts
Differential calculus on Euclidean spaces has many generalisations. In particular, on a set , a diffeological structure is given by maps from open subsets of Euclidean spaces to…