TL;DR
This paper introduces the concept of holomorphic-like mixed functions and demonstrates that links defined by such functions possess canonical contact structures, which are compatible with Milnor open books.
Contribution
It defines holomorphic-like mixed functions and proves their links have canonical contact structures compatible with Milnor open books.
Findings
Links of holomorphic-like mixed functions have canonical contact structures.
These contact structures are carried by the Milnor open book.
Strongly non-degenerate mixed functions induce Milnor open book structures.
Abstract
A strongly non-degenerate mixed function has a Milnor open book structures on a sufficiently small sphere. We introduce the notion of {\em a holomorphic-like} mixed function and we will show that a link defined by such a mixed function has a canonical contact structure. Then we will show that this contact structure for a certain holomorphic-like mixed function is carried by the Milnor open book.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Operator Algebra Research