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

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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:
CreatorsEmailORCIDORCID Put Code
Mandini, AlessiaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Pabiniak, MilenaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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
Uncontrolled Keywords:
KeywordsLanguage
COADJOINT ORBITS; GRASSMANNIANS; GEOMETRYMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19514

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