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(T) Moduli Topological Quantum Field Theories, Spaces and Flat Gauge Connections
, 1989
"... We show how to construct a topological quantum field theory which corresponds to a given moduli space. We apply this method to the case of flat gauge connections defined over a Riemann surface and discuss its relations with the _ ~ChernSimons theory and conformal field theory. The case of the SO ..."
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We show how to construct a topological quantum field theory which corresponds to a given moduli space. We apply this method to the case of flat gauge connections defined over a Riemann surface and discuss its relations with the _ ~ChernSimons theory and conformal field theory. The case
Two dimensional gauge theories revisited
 J. Geom. Phys
, 1992
"... Two dimensional quantum YangMills theory is reexamined using a nonabelian version of the DuistermaatHeckman integration formula to carry out the functional integral. This makes it possible to explain properties of the theory that are inaccessible to standard methods and to obtain general expressi ..."
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Cited by 200 (3 self)
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expressions for intersection pairings on moduli spaces of flat connections on a two dimensional surface. The latter expressions agree, for gauge group SU(2), with formulas obtained recently by several methods. This paper will be devoted to a renewed study of two dimensional YangMills theory without matter, a
Topological Gauge Theories and Group Cohomology
, 1989
"... We show that three dimensional ChernSimons gauge theories with a compact gauge group G (not necessarily connected or simply connected) can be classified by the integer cohomology group H 4 (BG, Z). In a similar way, possible WessZumino interactions of such a group G are classified by H 3 (G, Z). ..."
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Cited by 170 (2 self)
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We show that three dimensional ChernSimons gauge theories with a compact gauge group G (not necessarily connected or simply connected) can be classified by the integer cohomology group H 4 (BG, Z). In a similar way, possible WessZumino interactions of such a group G are classified by H 3 (G, Z
A Gaussian prior for smoothing maximum entropy models
, 1999
"... In certain contexts, maximum entropy (ME) modeling can be viewed as maximum likelihood training for exponential models, and like other maximum likelihood methods is prone to overfitting of training data. Several smoothing methods for maximum entropy models have been proposed to address this problem ..."
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Cited by 253 (2 self)
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for smoothing ngram language models. Because of the mature body of research in ngram model smoothing and the close connection between maximum entropy and conventional ngram models, this domain is wellsuited to gauge the performance of maximum entropy smoothing methods. Over a large number of data sets, we
Gauge fields and spacetime
 Int. J. Mod. Phys. A
, 2002
"... In this article I attempt to collect some ideas,opinions and formulae which may be useful in solving the problem of gauge / string / spacetime correspondence This includes the validity of Dbrane representation, counting of gaugeinvariant words, relations between the null states and the YangMills ..."
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Cited by 115 (2 self)
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of such ”limit cycles ” is the relations between gauge fields and strings. The logic of these connections is as following. We begin with an observation (by K.
Gauge theory for embedded surfaces
 I, Topology
, 1993
"... (i) Topology of embedded surfaces. Let X be a smooth, simplyconnected 4manifold, and ξ a 2dimensional homology class in X. One of the features of topology in dimension 4 is the fact that, although one may always represent ξ as the fundamental class of some smoothly ..."
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Cited by 111 (7 self)
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(i) Topology of embedded surfaces. Let X be a smooth, simplyconnected 4manifold, and ξ a 2dimensional homology class in X. One of the features of topology in dimension 4 is the fact that, although one may always represent ξ as the fundamental class of some smoothly
Connections, Gauges and Field Theories
, 2005
"... The theory of gauges and connections in the principal bundle formalism is reviewed. The geometrical aspects of gauge potential, such as curvature are explored. Finally, gauge field theories such as the YangMills and General Relativistic theories are reviewed in terms of connections. 1 ..."
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The theory of gauges and connections in the principal bundle formalism is reviewed. The geometrical aspects of gauge potential, such as curvature are explored. Finally, gauge field theories such as the YangMills and General Relativistic theories are reviewed in terms of connections. 1
CONNECTIONS AND GENERALIZED GAUGED TRANSFORMATIONS
, 1996
"... Abstract. With the standard fibre being a coset manifold, the transformation of a connection form in a fibre bundle under the action of the isometry group includes a dependence on the fibre coordinate. Elimination of the fibre coordinate from the transformation rule implies that the standard fibre i ..."
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Cited by 2 (2 self)
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of left and right multiplication and connection forms, are shown to satisfy conditions similar to those in classical gauge theories
Higher gauge theory
"... Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1dimensional objects (e.g. strings) using 2connections on 2bundles. A 2bundle is a categorified version of a bundle: that is, one where t ..."
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Cited by 62 (15 self)
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Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1dimensional objects (e.g. strings) using 2connections on 2bundles. A 2bundle is a categorified version of a bundle: that is, one where
Results 1  10
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150,349