26 citations · 59 across the 21 of their papers we have counts for
25 papers
Finite-dimensional diffeological vector spaces being and not being coproducts
Ekaterina Pervova
We discuss the question when a finite-dimensional diffeological vector space is, or turns out not to be, the coproduct of its subspaces in the category of diffeological vector spac…
Diffeological De Rham operators
Ekaterina Pervova
We consider the notion of the De Rham operator on finite-dimensional diffeological spaces such that the diffeological counterpart Λ^1(X) of the cotangent bundle, the so-called pseu…
Diffeological Dirac operators and diffeological gluing
Ekaterina Pervova
This manuscript attempts to present a way in which the classical construction of the Dirac operator can be carried over to the setting of diffeology. A more specific aim is to desc…
Diffeological Levi-Civita connections
Ekaterina Pervova
A diffeological connection on a diffeological vector pseudo-bundle is defined just the usual one on a smooth vector bundle; this is possible to do, because there is a standard diff…
Diffeological connections on diffeological vector pseudo-bundles
Ekaterina Pervova
We consider one possible definition of a diffeological connection on a diffeological vector pseudo-bundle. It is different from the one proposed in [7] and is in fact simpler, sinc…
Total masses of solutions to general Toda systems with singular sources
Debabrata Karmakar, Chang-Shou Lin, Zhaohu Nie +1
In this article we obtain total masses of solutions to the Toda system associated to a general simple Lie algebra with singular sources at the origin. The determination of such tot…