22 citations · 77 across the 17 of their papers we have counts for
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math.GT2016★ 22 cited
The diffeology of Milnor's classifying space
Jean-Pierre Magnot, Jordan Watts
We define a diffeology on the Milnor classifying space of a diffeological group , constructed in a similar fashion to the topological version using an infinite join. Besides obt…
math.GT2015
The Differential Structure of an Orbifold
Jordan Watts
We prove that the underlying set of an orbifold equipped with the ring of smooth real-valued functions completely determines the orbifold atlas. Consequently, we obtain an essentia…
math.GT2014★ 15 cited
Basic Forms and Orbit Spaces: a Diffeological Approach
Yael Karshon, Jordan Watts
If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic d…