Equivalent genus-2 factorizations of type (4, 3)
Evan Huang
TL;DR
This paper demonstrates that genus-2 fibrations of type (4, 3) constructed by different researchers are actually equivalent, sharing the same total space and Lefschetz fibration structure.
Contribution
It establishes the equivalence of genus-2 fibrations of type (4, 3) on the same total space, clarifying their relationship.
Findings
The fibrations are supported on the same total space.
The Lefschetz fibration structures are identical.
Different constructions yield the same fibration structure.
Abstract
The genus-2 fibrations of type (4, 3) found by Baykur-Korkmaz, Hamada, and Xiao are supported on the same total space. In this short note, we show that the Lefschetz fibration structures are the same.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Finite Group Theory Research · Geometric and Algebraic Topology