Character varieties of even classical pretzel knots
Haimiao Chen

TL;DR
This paper computes the character varieties of irreducible SL(2,C)-representations for even classical pretzel knots and details the process of deriving their A-polynomials, advancing understanding of knot invariants.
Contribution
It provides explicit descriptions of character varieties and A-polynomials for a class of pretzel knots, a novel contribution to knot theory.
Findings
Character varieties of specific pretzel knots are explicitly determined.
A-step-by-step method for computing A-polynomials is clarified.
Results enhance understanding of knot invariants and their algebraic structures.
Abstract
For each even classical pretzel knot , we determine the character variety of irreducible -representations, and clarify the steps of computing its A-polynomial.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Homotopy and Cohomology in Algebraic Topology
