Results 1  10
of
11,993
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
Abstract

Cited by 540 (59 self)
 Add to MetaCart
particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number
Consensus Problems in Networks of Agents with Switching Topology and TimeDelays
, 2003
"... In this paper, we discuss consensus problems for a network of dynamic agents with fixed and switching topologies. We analyze three cases: i) networks with switching topology and no timedelays, ii) networks with fixed topology and communication timedelays, and iii) maxconsensus problems (or leader ..."
Abstract

Cited by 1112 (21 self)
 Add to MetaCart
In this paper, we discuss consensus problems for a network of dynamic agents with fixed and switching topologies. We analyze three cases: i) networks with switching topology and no timedelays, ii) networks with fixed topology and communication timedelays, and iii) maxconsensus problems (or
ChernSimons Gauge Theory as a String Theory
, 2003
"... Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons gaug ..."
Abstract

Cited by 545 (13 self)
 Add to MetaCart
Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional Chern
Mirror Manifolds and Topological Field Theory
 in Essays on Mirror Manifolds (ed. S.T. Yau), International Press, Hong Kong
, 1992
"... In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven dimens ..."
Abstract

Cited by 380 (12 self)
 Add to MetaCart
In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven
Instantons beyond topological theory
 I
"... Abstract. Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the antiinstantons are absent, and the perturbative corrections are reduced to oneloop. We analyze the corresponding models as full quantum field theories, beyond th ..."
Abstract

Cited by 10 (3 self)
 Add to MetaCart
Abstract. Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the antiinstantons are absent, and the perturbative corrections are reduced to oneloop. We analyze the corresponding models as full quantum field theories, beyond
and BF Topological Theories ∗
, 1999
"... We describe constructing solutions of the field equations of ChernSimons and BF theories in terms of deformation theory of locally constant (flat) bundles. Maps of flat connections into one another (dressing transformations) are considered. A method of calculating (nonlocal) dressing symmetries in ..."
Abstract
 Add to MetaCart
We describe constructing solutions of the field equations of ChernSimons and BF theories in terms of deformation theory of locally constant (flat) bundles. Maps of flat connections into one another (dressing transformations) are considered. A method of calculating (nonlocal) dressing symmetries
Algebraic and Topological Theory of Languages
"... : A language is torsion (resp. bounded torsion, aperiodic, bounded aperiodic) if its syntactic monoid is torsion (resp. bounded torsion, aperiodic, bounded aperiodic). We generalize the regular language theorems of Kleene, Schutzenberger and Straubing to describe the classes of torsion, bounded tors ..."
Abstract
 Add to MetaCart
torsion, aperiodic and bounded aperiodic languages. These descriptions involve taking limits of sequences of languages and automata for certain topologies defined by filtrations of the free monoid. A theorem for arbitrary languages over finite alphabets is also stated and proved. AMS Mathematics Subject
FUNCTIONAL IDEALS AND TOPOLOGICAL THEORIES
"... Abstract. In this paper we give new and unified isomorphic characterizations of approach spaces, preapproach spaces, convergence approach spaces, uniform gauge spaces, topological spaces, convergence spaces, pretopological spaces, metric spaces and uniform spaces. The unified treatment is made pos ..."
Abstract
 Add to MetaCart
Abstract. In this paper we give new and unified isomorphic characterizations of approach spaces, preapproach spaces, convergence approach spaces, uniform gauge spaces, topological spaces, convergence spaces, pretopological spaces, metric spaces and uniform spaces. The unified treatment is made
Consensus and cooperation in networked multiagent systems
 Proceedings of the IEEE
, 2007
"... Summary. This paper provides a theoretical framework for analysis of consensus algorithms for multiagent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, timedelays, and performance guarantees. An ove ..."
Abstract

Cited by 807 (4 self)
 Add to MetaCart
Summary. This paper provides a theoretical framework for analysis of consensus algorithms for multiagent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, timedelays, and performance guarantees
Information flow and cooperative control of vehicle formations.
 In Proceeings of 15th IFAC Conference,
, 2002
"... Abstract We consider the problem of cooperation among a collection of vehicles performing a shared task using intervehicle communication to coordinate their actions. We apply tools from graph theory to relate the topology of the communication network to formation stability. We prove a Nyquist crite ..."
Abstract

Cited by 551 (11 self)
 Add to MetaCart
Abstract We consider the problem of cooperation among a collection of vehicles performing a shared task using intervehicle communication to coordinate their actions. We apply tools from graph theory to relate the topology of the communication network to formation stability. We prove a Nyquist
Results 1  10
of
11,993