Generalized Plumbings and Murasugi Sums

Ozbagci, Burak; Popescu-Pampu, Patrick

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1007/s40598-015-0033-3

Permalink :

http://hdl.handle.net/20.500.12210/121801

Title :

Generalized Plumbings and Murasugi Sums

Author(s) :

Ozbagci, Burak [Auteur]
Koç University
Popescu-Pampu, Patrick [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Arnold Mathematical Journal

Pages :

69-119

Publisher :

Springer

Publication date :

2016-03

ISSN :

2199-6792

English keyword(s) :

Cobordisms
Morse functions
Murasugi sums
Open books
Plumbing
Seifert surfaces

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 ...
Show more >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 and contact topology.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T14:34:23Z

Files

document
Open access
Access the document

1412.2229.pdf
Open access
Access the document

1412.2229
Open access
Access the document

Generalized Plumbings and Murasugi Sums BibTeX CSV Excel RIS

Files

Generalized Plumbings and Murasugi Sums

BibTeX

CSV

Excel

RIS