We prove that there are thirteen Archimedean/semiregular polyhedra by using Euler's polyhedral formula.
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7 results for “semiregularity”
The paper connects connections on sheaves to an morphism lifting semiregularity maps.
problem Understanding connections on sheaves and their relationship to semiregularity maps.
method Proves a canonical association of a connection of type (1,0) on a sheaf to an morphism.
result Establishes a connection between connections on sheaves and an morphism lifting semiregularity maps.
New liftings derived from Chern-Simons classes for coherent sheaves.
problem Liftings of semiregularity maps for coherent sheaves on complex manifolds.
method Introducing Chern-Simons classes for curved DG-pairs and proving canonical liftings.
result Canonical liftings of Buchweitz-Flenner semiregularity maps.
New maps help understand deformations of modules over Lie algebroids.
problem Understanding deformations of modules over Lie algebroids.
method Introduce semiregularity maps and use DG-Lie algebra control.
result Semiregularity maps annihilate obstructions under certain conditions.
We solve the differentiability problem for the evolution map in Milnor's infinite dimensional setting. We first show that the evolution map of each -semiregular Lie group (for ) admits a particular kind of sequentially continuity called Mackey k-continuity. We …
Introduces Coxeter polyhedra in various geometries.
problem None explicitly stated, focuses on introducing concepts.
method Introduction of Coxeter polyhedra in spherical, Euclidean, and hyperbolic geometries.
result Fundamental theorems and descriptions of polyhedra and tessellations.
We give an algebraic/geometric characterization of the classical pseudodifferential operators on a smooth manifold in terms of the tangent groupoid and its natural -action. Specifically, we show that a properly supported semiregular distribution on is the Schwartz kernel of a classical …