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Area-preserving isotopies of self-transverse immersions of S (1) in a"e(2)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 51, no 1, 85-97 p.Article in journal (Refereed) Published
Abstract [en]

Let C and C' be two smooth self-transverse immersions of S (1) into a"e(2). Both C and C' subdivide the plane into a number of disks and one unbounded component. An isotopy of the plane which takes C to C' induces a one-to-one correspondence between the disks of C and C'. An obvious necessary condition for there to exist an area-preserving isotopy of the plane taking C to C' is that there exists an isotopy for which the area of every disk of C equals that of the corresponding disk of C'. In this paper we show that this is also a sufficient condition.

Place, publisher, year, edition, pages
2013. Vol. 51, no 1, 85-97 p.
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Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-197954DOI: 10.1007/s11512-012-0165-9ISI: 000316012800005OAI: oai:DiVA.org:uu-197954DiVA: diva2:615396
Available from: 2013-04-10 Created: 2013-04-08 Last updated: 2017-12-06Bibliographically approved

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Karlsson, Cecilia

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