A local analytic splitting of the holonomy map on flat connections

1994 ◽  
Vol 299 (1) ◽  
pp. 171-189 ◽  
Author(s):  
B. Fine ◽  
P. Kirk ◽  
E. Klassen
Keyword(s):  
Flat Connections ◽  
Holonomy Map

scholarly journals Higher Dimensional Holonomy Map for Rules Submanifolds in Graded Manifolds

2020 ◽  
Vol 8 (1) ◽  
pp. 68-91
Author(s):  
Gianmarco Giovannardi
Keyword(s):  
Characteristic Direction ◽  
Fixed Degree ◽  
One Dimensional ◽  
First Order ◽  
Natural Choice ◽  
Higher Dimensional ◽  
Graded Manifold ◽  
The One ◽  
Graded Manifolds ◽  
Holonomy Map

AbstractThe deformability condition for submanifolds of fixed degree immersed in a graded manifold can be expressed as a system of first order PDEs. In the particular but important case of ruled submanifolds, we introduce a natural choice of coordinates, which allows to deeply simplify the formal expression of the system, and to reduce it to a system of ODEs along a characteristic direction. We introduce a notion of higher dimensional holonomy map in analogy with the one-dimensional case [29], and we provide a characterization for singularities as well as a deformability criterion.

scholarly journals Half density quantization of the moduli space of flat connections and witten's semiclassical manifold invariants

Topology ◽  
1993 ◽  
Vol 32 (3) ◽  
pp. 509-529 ◽  
Author(s):  
Lisa C. Jeffrey ◽  
Jonathan Weitsman
Keyword(s):  
Moduli Space ◽  
Flat Connections

Flat Connections on 2-Manifolds

2019 ◽  
pp. 113-122
Author(s):  
Shubham Dwivedi ◽  
Jonathan Herman ◽  
Lisa C. Jeffrey ◽  
Theo van den Hurk
Keyword(s):  
Flat Connections

scholarly journals The Volume of the Moduli Space of Flat Connections on a Nonorientable 2-Manifold

2005 ◽  
Vol 256 (3) ◽  
pp. 539-564 ◽  
Author(s):  
Nan-Kuo Ho ◽  
Lisa C. Jeffrey
Keyword(s):  
Moduli Space ◽  
Flat Connections
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