We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgroupoids and Lagrangian submicrogroupoids (as morphisms), and the category of monoids and monoid morphisms in the microsymplectic category are equivalent symmetric monoidal categories
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
In dealing with monoids, the natural notion of kernel of a monoid morphism (Formula presented.) betw...
. We demonstrate how the identity N\Omega N = N in a monoidal category allows us to construct a...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
This thesis presents several complete and partial models for the homotopy theory of monoids and the ...
We present a quick review of several reduction techniques for symplectic and Poisson manifolds using...
AbstractThe study of categories as generalized monoids is shown to be essential to the understanding...
A Poisson structure on a homogeneous space of a Poisson groupoid is homogeneous if the action of the...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
This is a report on aspects of the theory and use of monoidal categories. The first section introduc...
We construct a special class of semiclassical Fourier integral operators whose wave fronts are the s...
This thesis is divided into four chapters. The first chapter discusses the relationship between stac...
Lie groupoids with Morita equivalence are a convenient model for the study of singular manifolds. Th...
For a symplectic vector space, recall the identification of the symplectic group Sp(V) with an open ...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
In dealing with monoids, the natural notion of kernel of a monoid morphism (Formula presented.) betw...
. We demonstrate how the identity N\Omega N = N in a monoidal category allows us to construct a...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
This thesis presents several complete and partial models for the homotopy theory of monoids and the ...
We present a quick review of several reduction techniques for symplectic and Poisson manifolds using...
AbstractThe study of categories as generalized monoids is shown to be essential to the understanding...
A Poisson structure on a homogeneous space of a Poisson groupoid is homogeneous if the action of the...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
This is a report on aspects of the theory and use of monoidal categories. The first section introduc...
We construct a special class of semiclassical Fourier integral operators whose wave fronts are the s...
This thesis is divided into four chapters. The first chapter discusses the relationship between stac...
Lie groupoids with Morita equivalence are a convenient model for the study of singular manifolds. Th...
For a symplectic vector space, recall the identification of the symplectic group Sp(V) with an open ...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
In dealing with monoids, the natural notion of kernel of a monoid morphism (Formula presented.) betw...
. We demonstrate how the identity N\Omega N = N in a monoidal category allows us to construct a...
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