Generalized plumbings and Murasugi sums

Burak Ozbagci; Patrick Popescu-Pampu

doi:10.1007/s40598-015-0033-3

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arXiv · 1412.2229

Generalized plumbings and Murasugi sums

Burak Ozbagci·Patrick Popescu-Pampu

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Abstract

We propose a generalization of the classical notions of plumbing and Murasugi summing operations to smooth manifolds of arbitrary dimensions, so that in this general context Gabai's credo "the Murasugi sum is a natural geometric operation" holds. In particular, we prove that the sum of the pages of two open books is again a page of an open book and that there is an associated summing operation of Morse maps. We conclude with several open questions relating this work with singularity theory or contact topology.

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BibTeX RIS

Burak Ozbagci, Patrick Popescu-Pampu. 2014-12-06. Generalized plumbings and Murasugi sums. https://doi.org/10.1007/s40598-015-0033-3

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