Symplectic mapping class group relations generalizing the chain relation
2016 ◽
Vol 27
(12)
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pp. 1650096
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Keyword(s):
In this paper, we examine mapping class group relations of some symplectic manifolds. For each [Formula: see text] and [Formula: see text], we show that the [Formula: see text]-dimensional Weinstein domain [Formula: see text], determined by the degree [Formula: see text] homogeneous polynomial [Formula: see text], has a Boothby–Wang type boundary and a right-handed fibered Dehn twist along the boundary that is symplectically isotopic to a product of right-handed Dehn twists along Lagrangian spheres. We also present explicit descriptions of the symplectomorphisms in the case [Formula: see text] recovering the classical chain relation for the torus with two boundary components.
Keyword(s):
2015 ◽
Vol 64
(2)
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pp. 319-333
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Keyword(s):
2018 ◽
Vol 27
(06)
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pp. 1850043
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Keyword(s):
2017 ◽
Vol 60
(2)
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pp. 333-338
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Keyword(s):