Non-trivalent graph cocycle and cohomology of the long knot space

Details Non-trivalent graph cocycle and cohomology of the long knot space Non-trivalent graph cocycle and cohomology of the long knot space

2007-11-28

arxiv.org/abs/0711.4419v3

Algebraic & Geometric Topology 8 (2008) 1499-1522

Mathematics

Geometric Topology

17 pages, 11 figures (v2: a comment on a work of R. Longoni is added. v3: Remark 3.6 of v2 has been removed since it might be

Scientific paper

10.2140/agt.2008.8.1499

In this paper we show that via the configuration space integral construction
a non-trivalent graph cocycle can also yield a non-zero cohomology class of the
space of higher (and even) codimensional long knots. This simultaneously proves
that the Browder operation induced by the operad action defined by R. Budney is
not trivial.

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