Topological methods to compute Chern-Simons invariants

1994 ◽  
Vol 115 (2) ◽  
pp. 229-251 ◽  
Author(s):  
David R. Auckly
Keyword(s):  
Large Class ◽  
Hyperbolic Manifolds ◽  
Topological Methods ◽  
Graph Manifolds ◽  
Seifert Fiber Spaces ◽  
Chern Simons

In this paper we develop a method which may be used to compute the Chern-Simons invariants of a large class of representations on a large class of manifolds. This class includes all representations on all Seifert fiber spaces, all graph manifolds, and some hyperbolic manifolds. I owe many thanks to Peter Scott, John Harer, Frank Raymond, Ron Fintushel, Paul Kirk and Eric Klassen, without whose help and support this paper could not have been written.

scholarly journals TORSION ON HYPERBOLIC MANIFOLDS AND THE SEMICLASSICAL LIMIT FOR CHERN–SIMONS THEORY

1998 ◽  
Vol 13 (30) ◽  
pp. 2453-2461 ◽  
Author(s):  
A. A. BYTSENKO ◽  
A. E. GONÇALVES ◽  
W. DA CRUZ
Keyword(s):  
Integration Method ◽  
Semiclassical Approximation ◽  
Semiclassical Limit ◽  
Hyperbolic Manifolds ◽  
Simons Theory ◽  
Manifold With Boundary ◽  
Hyperbolic Three Manifolds ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Invariant Integration

The invariant integration method for Chern–Simons theory of gauge group SU(2) and manifold Γ\H3 is verified in the semiclassical limit. The semiclassical approximation for the partition function associated with a connected sum of hyperbolic three-manifolds is presented. We discuss briefly L2-analytical and topological torsions of a manifold with boundary.

The Chern-Simons Invariants of Hyperbolic Manifolds Via Covering Spaces

1999 ◽  
Vol 31 (3) ◽  
pp. 354-366 ◽  
Author(s):  
Hugh M. Hilden ◽  
María Teresa Lozano ◽  
José María Montesinos-Amilibia
Keyword(s):  
Hyperbolic Manifolds ◽  
Covering Spaces ◽  
Chern Simons

scholarly journals Stable Configurations of Repelling Points on Flat Tori

2019 ◽  
Vol 14 (2) ◽  
pp. 87-102
Author(s):  
Marina Nechayeva ◽  
Burton Randol
Keyword(s):  
Large Class ◽  
Riemannian Manifolds ◽  
Final Section ◽  
Hyperbolic Manifolds ◽  
Analytic Approach ◽  
Flat Tori

AbstractFlat tori are analyzed in the context of an intrinsic Fourier-analytic approach to electrostatics on Riemannian manifolds, introduced by one of the authors in 1984 and previously developed for compact hyperbolic manifolds. The approach covers a large class of repelling laws, but does not naturally include laws with singularities at the origin, for which possible accommodations are discussed in the final section of the paper.

scholarly journals Prising apart geodesics by length in hyperbolic manifolds

2015 ◽  
Vol 158 (3) ◽  
pp. 547-572
Author(s):  
JAMES W. ANDERSON
Keyword(s):  
Large Class ◽  
Euler Characteristic ◽  
Intersection Number ◽  
Orientable Surface ◽  
Exceptional Case ◽  
Hyperbolic Manifolds ◽  
Closed Curve ◽  
Length Function ◽  
Hyperbolic Structures ◽  
Simple Curves

AbstractWe develop a condition on a closed curve on a surface or in a 3-manifold that implies that the length function associated to the curve on the space of all hyperbolic structures on the surface or in the 3-manifold (respectively) completely determines the curve. Specifically, for an orientable surfaceSof negative Euler characteristic, we extend the known result that simple curves have this property to curves with self-intersection number one (with one exceptional case arising from hyperellipticity that we describe completely). For a large class of hyperbolizable 3-manifolds, we show that curves freely homotopic to simple curves on ∂Mhave this property.

scholarly journals Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Albert Much ◽  
Robert Oeckl
Keyword(s):  
Large Class ◽  
Hilbert Spaces ◽  
Hyperbolic Manifolds ◽  
External Potential ◽  
Globally Hyperbolic ◽  
Spatial Part ◽  
Klein Gordon ◽  
Globally Hyperbolic Spacetimes ◽  
Hyperbolic Spacetimes

AbstractWe prove essential self-adjointness of the spatial part of the linear Klein-Gordon operator with external potential for a large class of globally hyperbolic manifolds. The proof is conducted by a fusion of new results concerning globally hyperbolic manifolds, the theory of weighted Hilbert spaces and related functional analytic advances.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

A Large Class of p-Ary Cyclic Codes and Sequence Families

2010 ◽  
Vol E93-A (11) ◽  
pp. 2272-2277
Author(s):  
Zhengchun ZHOU ◽  
Xiaohu TANG ◽  
Udaya PARAMPALLI
Keyword(s):  
Large Class ◽  
Cyclic Codes
Sign in / Sign up

Export Citation Format

Share Document