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Start Over Topic homology theory Topic mathematical analysis Topic mathematical models Publication Year Range Last 50 years Journal transactions of the american mathematical society Publisher american mathematical society
2 results

1. The 1,2-coloured HOMFLY-PT link homology.

Author

Marco Mackaay, Marko Stošić, and Pedro Vaz

Subjects
*HOMOLOGY theory, *INVARIANTS (Mathematics), *LINKS & link-motion, *ARBITRARY constants, *MATHEMATICAL analysis, *MATHEMATICAL models
Abstract

In this paper we define the 1,2-coloured HOMFLY-PT triply graded link homology and prove that it is a link invariant. We also conjecture on how to generalize our construction for arbitrary colours. [ABSTRACT FROM AUTHOR]

Published
2010

2. AN ALGEBRAIC CHAIN MODEL OF STRING TOPOLOGY.

Author

Xiaojun Chen

Subjects
MATHEMATICAL models, ALGEBRAIC topology, LOOP spaces, MANIFOLDS (Mathematics), ORDERED algebraic structures, HOMOLOGY theory, MATHEMATICAL analysis
Abstract

A chain complex model for the free loop space of a connected, closed and oriented manifold is presented, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra structures are defined and identified with the string topology structures. The gravity algebra on the equivariant homology of the free loop space is also modeled. The construction includes the non-simply connected case, and therefore gives an algebraic and chain level model of Chas-Sullivan's String Topology. [ABSTRACT FROM AUTHOR]

Published
2012
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