TL;DR
This paper constructs numerous complete, immersed self-shrinkers with rotational symmetry for various topologies, expanding the known examples in geometric analysis.
Contribution
It introduces a method to generate infinitely many new immersed self-shrinkers with specified topologies and rotational symmetry.
Findings
Existence of infinitely many self-shrinkers for each topology
Construction of examples with rotational symmetry
Extension to multiple topological types
Abstract
We construct infinitely many complete, immersed self-shrinkers with rotational symmetry for each of the following topological types: the sphere, the plane, the cylinder, and the torus.
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