Closed/open string diagrammatics

Details Closed/open string diagrammatics Closed/open string diagrammatics

2006-03-20

arxiv.org/abs/math/0603485v2

Nucl.Phys.B748:335-379,2006

Mathematics

Geometric Topology

61 pages, 21 figures. Final version, to appear in Nucl Phys B

Scientific paper

10.1016/j.nuclphysb.2006.03.036

We introduce a combinatorial model based on measured foliations in surfaces which captures the phenomenology of open/closed string interactions. The predicted equations are derived in this model, and new equations can be discovered as well. In particular, several new equations together with known transformations generate the combinatorial version of open/closed duality. On the topological and chain levels, the algebraic structure discovered is new, but it specializes to a modular bi-operad on the level of homology.

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