Elliptic diffeomorphisms of symplectic 4-manifolds
Vsevolod Shevchishin, Gleb Smirnov
TL;DR
This paper explores how symplectically embedded (-1)-tori influence the symplectic mapping class group of 4-manifolds, providing examples of elements with infinite order, thus advancing understanding of symplectic topology.
Contribution
It demonstrates the connection between embedded (-1)-tori and elements in the symplectic mapping class group, including the construction of infinite order elements.
Findings
Symplectically embedded (-1)-tori induce elements in the symplectic mapping class group.
An explicit example of an infinite order element is constructed.
The results deepen the understanding of the structure of symplectic 4-manifolds.
Abstract
We show that symplectically embedded -tori give rise to certain elements in the symplectic mapping class group of -manifolds. An example is given where such elements are proved to be of infinite order.
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