Orbifold string topology
Copyright policy )Orbifold string topology
In this paper we study the string topology (�� la Chas-Sullivan) of an orbifold. We define the string homology ring product at the level of the free loop space of the classifying space of an orbifold. We study its properties (introducing an operad to do so) and do some explicit calculations.
47 pages. Major revisions on sections 5 and 6. Accepted for publication in Geometry and Topology
- Universidad de San Buenaventura, Bogota Colombia
- Universidad de Los Andes Colombia
- CINVESTAV Mexico
orbifold, loop space, FOS: Physical sciences, 55N45; 57R19 ; 18D50, Classifying spaces of groups and \(H\)-spaces in algebraic topology, Batalin-Vilkovisky algebra, chord diagram, Loop space machines and operads in algebraic topology, 18D50, Mathematics - Quantum Algebra, FOS: Mathematics, Operads, Algebraic Topology (math.AT), Quantum Algebra (math.QA), 55R35, Mathematics - Algebraic Topology, 55P35, 57R19, Mathematical Physics, Loop spaces, operad, Mathematical Physics (math-ph), string topology, loop space, 55N45, orbifold
orbifold, loop space, FOS: Physical sciences, 55N45; 57R19 ; 18D50, Classifying spaces of groups and \(H\)-spaces in algebraic topology, Batalin-Vilkovisky algebra, chord diagram, Loop space machines and operads in algebraic topology, 18D50, Mathematics - Quantum Algebra, FOS: Mathematics, Operads, Algebraic Topology (math.AT), Quantum Algebra (math.QA), 55R35, Mathematics - Algebraic Topology, 55P35, 57R19, Mathematical Physics, Loop spaces, operad, Mathematical Physics (math-ph), string topology, loop space, 55N45, orbifold
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