Mandini, Alessia and Pabiniak, Milena (2018). ON THE GROMOV WIDTH OF POLYGON SPACES. Transform. Groups, 23 (1). S. 149 - 184. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X
Full text not available from this repository.Abstract
For generic r = (r1, aEuro broken vertical bar , rn) a the space a(3)(r) of n-gons in ae(3) with edges of lengths r is a smooth, symplectic manifold. We investigate its Gromov width and prove that the expression 2 pi min {2r (j) , (a (i not equal j) r (i) ) - r (i) |j = 1, aEuro broken vertical bar , n} is the Gromov width of all (smooth) 5-gon spaces and of 6-gon spaces, under some condition on r a . The same formula constitutes a lower bound for all (smooth) spaces of 6-gons. Moreover, we prove that the Gromov width of a(3)(r) is given by the above expression when a(3)(r) is symplectomorphic to a,a(TM) (n - 3), for any n ae<yen> 4.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-195143 | ||||||||||||
DOI: | 10.1007/s00031-017-9430-0 | ||||||||||||
Journal or Publication Title: | Transform. Groups | ||||||||||||
Volume: | 23 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 149 - 184 | ||||||||||||
Date: | 2018 | ||||||||||||
Publisher: | SPRINGER BIRKHAUSER | ||||||||||||
Place of Publication: | NEW YORK | ||||||||||||
ISSN: | 1531-586X | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/19514 |
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