Negative definite spin filling and branched double covers
Soheil Azarpendar
TL;DR
This paper studies the conditions under which certain 3-manifolds derived from knots admit negative definite spin fillings, providing obstructions and characterizations for special alternating knots.
Contribution
It introduces new obstructions for negative definite spin fillings of branched double covers and characterizes special alternating knots based on these properties.
Findings
Derived obstructions for negative definite spin fillings.
Characterized special alternating knots using these obstructions.
Provided criteria for the existence of such fillings.
Abstract
We investigate the negative definite spin fillings of branched double covers of alternating knots. We derive some obstructions for the existence of such fillings and find a characterization of special alternating knots based on them.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology