scholarly journals Any flat bundle on a punctured disc has an oper structure

2010 ◽  
Vol 17 (1) ◽  
pp. 27-37 ◽  
Author(s):  
Edward Frenkel ◽  
Xinwen Zhu
Keyword(s):  
Flat Bundle

The Stokes Structure of a good meromorphic flat bundle

2011 ◽  
Vol 10 (3) ◽  
pp. 675-712 ◽  
Author(s):  
Takuro Mochizuki
Keyword(s):  
Formal Structure ◽  
Good Lattice ◽  
Flat Bundle

AbstractWe give a survey on the Stokes structure of a good meromorphic flat bundle. We also show that a meromorphic flat bundle has the good formal structure if and only if it has a good lattice.

scholarly journals Hermitian symmetric space, flat bundle and holomorphicity criterion

2016 ◽  
Vol 140 (4) ◽  
pp. 1-10
Author(s):  
Hassan Azad ◽  
Indranil Biswas ◽  
C.S. Rajan ◽  
Shehryar Sikander
Keyword(s):  
Symmetric Space ◽  
Hermitian Symmetric Space ◽  
Flat Bundle

scholarly journals SUPERPOTENTIAL OF THE M-THEORY CONIFOLD AND TYPE IIA STRING THEORY

2004 ◽  
Vol 19 (04) ◽  
pp. 521-555 ◽  
Author(s):  
GOTTFRIED CURIO
Keyword(s):  
String Theory ◽  
Heisenberg Group ◽  
Group Action ◽  
Moduli Space ◽  
Monodromy Group ◽  
Witten Theory ◽  
Flat Bundle ◽  
M Theory

The membrane instanton superpotential for M-theory on the G2 holonomy manifold given by the cone on S3×S3 is given by the dilogarithm and has Heisenberg monodromy group in the quantum moduli space. We compare this to a Heisenberg group action on the type IIA hypermultiplet moduli space for the universal hypermultiplet, to metric corrections from membrane instantons related to a twisted dilogarithm for the deformed conifold and to a flat bundle related to a conifold period, the Heisenberg group and the dilogarithm appearing in five-dimensional Seiberg/Witten theory.

The Flat Bundle Fibre Test

1938 ◽  
Vol 8 (12) ◽  
pp. 421-428 ◽  
Author(s):  
H.R. Bellinson
Keyword(s):  
Flat Bundle

The Relation of Single-Fiber to Flat-Bundle Strength and Elongation of Cotton

1955 ◽  
Vol 25 (11) ◽  
pp. 939-946 ◽  
Author(s):  
Rollin S. Orr ◽  
Louis C. Weiss ◽  
James N. Grant
Keyword(s):  
Single Fiber ◽  
Flat Bundle

Flat bundles, von Neumann algebras andK-theory with ℝ/ℤ-coefficients

2014 ◽  
Vol 13 (2) ◽  
pp. 275-303 ◽  
Author(s):  
Paolo Antonini ◽  
Sara Azzali ◽  
Georges Skandalis
Keyword(s):  
Differential Operator ◽  
Von Neumann Algebra ◽  
Von Neumann Algebras ◽  
Homology Class ◽  
Spectral Flow ◽  
Pseudo Differential Operator ◽  
Von Neumann ◽  
Finite Von Neumann Algebra ◽  
Flat Bundle ◽  
Theoretic Description

AbstractLetMbe a closed manifold andα:π1(M) →Una representation. We give a purelyK-theoretic description of the associated element in theK-theory group ofMwith ℝ/ℤ-coefficients ([α] ∈K1(M; ℝ/ℤ)). To that end, it is convenient to describe the ℝ/ℤ-K-theory as a relativeK-theory of the unital inclusion of ℂ into a finite von Neumann algebraB. We use the following fact: there is, associated withα, a finite von Neumann algebraBtogether with a flat bundleℰ→Mwith fibersB, such thatEα⊗ℰis canonically isomorphic with ℂn⊗ℰ, whereEαdenotes the flat bundle with fiber ℂnassociated withα. We also discuss the spectral flow and rho type description of the pairing of the class [α] with theK-homology class of an elliptic selfadjoint (pseudo)-differential operatorDof order 1.

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