Publication: The Oriented Graph Complexes
The Oriented Graph Complexes
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Willwacher, T. (2015). The Oriented Graph Complexes. Communications in Mathematical Physics, 334(3), 1649–1666. https://doi.org/10.1007/s00220-014-2168-9
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The oriented graph complexes GCorn are complexes of directed graphs without directed cycles. They govern, for example, the quantization of Lie bialgebras and infinite dimensional deformation quantization. Similar to the ordinary graph complexes GC n introduced by Kontsevich they come in two essentially different versions, depending on the parity of n. It is shown that, surprisingly, the oriented graph complex GCorn is quasi-isomorphic to the ordinary commutative graph complex of opposite parity GC n-1, up to some known classes. This y
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Willwacher, T. (2015). The Oriented Graph Complexes. Communications in Mathematical Physics, 334(3), 1649–1666. https://doi.org/10.1007/s00220-014-2168-9