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This paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary codimension. In particular the author develops a precise theor
The Moment Maps in Diffeology
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"This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological gr
The Creation of Strange Non-Chaotic Attractors in Non-Smooth Saddle-Node Bifurcations
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The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically
Heat Eisenstein Series on $\mathrm {SL}_n(C)$
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The purpose of this Memoir is to define and study multi-variable Eisenstein series attached to heat kernels. Fundamental properties of heat Eisenstein series ar
Noncommutative Curves of Genus Zero
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In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that eac