On the 3-dimensional invariant for cyclic contact branched coverings
Tetsuya Ito

TL;DR
This paper presents a formula for a 3-dimensional invariant associated with cyclic contact branched coverings of the standard contact 3-sphere, advancing understanding of contact topology in three dimensions.
Contribution
It provides a new explicit formula for the 3-dimensional invariant in the context of cyclic contact branched coverings, which was previously not well-understood.
Findings
Derived a formula for the 3-dimensional invariant
Applied the formula to specific cyclic contact branched coverings
Enhanced understanding of contact topology invariants
Abstract
We give a formula of 3-dimensional invariant for a cyclic contact branched covering of the standard contact S^{3}.
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