 About 18,700 results  books.google.com Chern–Simons invariant 5.1. Preliminaries. In the late 1980s, E. Witten
considered a quantum field theory whose Lagrangian is the Chern–Simons
functional. He argued that the Chern–Simons path integral on a (closed) 3–
manifold with an ... 

 books.google.com B. Scale Invariance in Quantized Planar Models The relationship between the
nonrelativistic selfdual Chern Simons ... we must first address an unexpected
feature of planar quantum mechanical systems with deltafunction interactions. 

 books.google.com In this chapter we deal with topological invariants obtained from the perturbative
expansion of the partition function of the Chern Simons functional as the level k
tends to infinity. As the coefficients of the expansion of the Jones polynomial we ... 

 books.google.com One of the most remarkable features of the Abelian ChernSimons theory is that
the expectation value (1.17) is invariant ... STT J (1.20) The functional (1.20) is
invariant under (Abelian) gauge transformations acting on the vector field A^(x). 

 books.google.com Semiclassical Approximation in ChernSimons Gauge Theory David H. Adams
ABSTRACT The semiclassical approximation for the partition function in Chern
Simons gauge theory is derived using the invariant integration method. Volume
and ... 

 books.google.com Chern–Simons theory is a classical gauge field theory formulated on an odd
dimensional manifold. ... It can be shown that the Wess–Zumino functional is
integervalued and hence if the Chern–Simons coupling constant k is taken to be
an ... 

 books.google.com In contrast the bulk partition function of AdSz string theory is the modular
invariant partition function of the dual CFT on the boundary. This is a puzzle
because AdSz string theory formally reduces to pure ChernSimons theory at
long distances. 

 books.google.com A key point is that our gauge group is not simply connected, whereas this is an essential assumption in Beasley and Witten's work. 

 books.google.com We obtain the ChernSimons results using three different techniques. 

 books.google.com We discuss C. Taubes' gaugetheoretical definition of the Casson invariant as (
roughly) the Euler number of the gradient field of the ChernSimons function. The
ChernSimons function plays a central role in modern understanding of
homology ... 

 