scholarly journals The Complement of Binary Klein Quadric as a Combinatorial Grassmannian

Mathematics ◽  
2015 ◽  
Vol 3 (2) ◽  
pp. 481-486 ◽  
Author(s):  
Metod Saniga
Keyword(s):  
Klein Quadric

Partitions of the Klein Quadric

2006 ◽  
Vol 26 ◽  
pp. 151-157
Author(s):  
Hans-Joachim Kroll ◽  
Rita Vincenti
Keyword(s):  
Klein Quadric

A combinatorial characterization of the Klein quadric

1996 ◽  
Vol 57 (1-2) ◽  
pp. 106-113 ◽  
Author(s):  
Eva Ferrara Dentice ◽  
Pia Maria Lo Re ◽  
Nicola Melone
Keyword(s):  
Combinatorial Characterization ◽  
Klein Quadric

scholarly journals Af∗ .Af geometries, the Klein quadric and Hnq

1994 ◽  
Vol 129 (1-3) ◽  
pp. 53-74 ◽  
Author(s):  
A. Del Fra ◽  
D. Ghinelli
Keyword(s):  
Klein Quadric

scholarly journals Instantons and vortices on noncommutative toric varieties

2014 ◽  
Vol 26 (09) ◽  
pp. 1430008 ◽  
Author(s):  
Lucio S. Cirio ◽  
Giovanni Landi ◽  
Richard J. Szabo
Keyword(s):  
Moduli Spaces ◽  
Toric Varieties ◽  
Partition Functions ◽  
Toric Geometry ◽  
Monoidal Categories ◽  
Klein Quadric ◽  
Noncommutative Algebraic Geometry ◽  
Fundamental Matter ◽  
Braided Monoidal Categories ◽  
Noncommutative Gauge Theories

We elaborate on the quantization of toric varieties by combining techniques from toric geometry, isospectral deformations and noncommutative geometry in braided monoidal categories, and the construction of instantons thereon by combining methods from noncommutative algebraic geometry and a quantized twistor theory. We classify the real structures on a toric noncommutative deformation of the Klein quadric and use this to derive a new noncommutative four-sphere which is the unique deformation compatible with the noncommutative twistor correspondence. We extend the computation of equivariant instanton partition functions to noncommutative gauge theories with both adjoint and fundamental matter fields, finding agreement with the classical results in all instances. We construct moduli spaces of noncommutative vortices from the moduli of invariant instantons, and derive corresponding equivariant partition functions which also agree with those of the classical limit.

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