TL;DR
This paper presents a novel proof demonstrating that Seidel's generalized Dehn twist cannot be smoothly deformed into the identity within symplectic topology.
Contribution
It introduces a new gauge-theoretic approach to prove the non-isotopy of Seidel's generalized Dehn twist.
Findings
Seidel's generalized Dehn twist is not symplectically isotopic to the identity.
The proof employs gauge theory techniques.
The result clarifies the symplectic mapping class group structure.
Abstract
A new proof is given that Seidel's generalized Dehn twist is not symplectically isotopic to the idenity.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Black Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories