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2008 Nontrivalent graph cocycle and cohomology of the long knot space
Keiichi Sakai
Algebr. Geom. Topol. 8(3): 1499-1522 (2008). DOI: 10.2140/agt.2008.8.1499

Abstract

In this paper we show that via the configuration space integral construction a nontrivalent graph cocycle can also yield a nonzero 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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Keiichi Sakai. "Nontrivalent graph cocycle and cohomology of the long knot space." Algebr. Geom. Topol. 8 (3) 1499 - 1522, 2008. https://doi.org/10.2140/agt.2008.8.1499

Information

Received: 31 December 2007; Revised: 18 July 2008; Accepted: 18 July 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1151.57012
MathSciNet: MR2443252
Digital Object Identifier: 10.2140/agt.2008.8.1499

Subjects:
Primary: 58D10
Secondary: 55P48, 81Q30

Rights: Copyright © 2008 Mathematical Sciences Publishers

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