Volume growth via real Lagrangians in Milnor fibers of Brieskorn polynomials
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911763354615808 |
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| author | Kim, Joontae Kwon, Myeonggi |
| author_facet | Kim, Joontae Kwon, Myeonggi |
| contents | In this paper we study the volume growth in the component of fibered twists in Milnor fibers of Brieskorn polynomials. We obtain a uniform lower bound of the volume growth for a class of Brieskorn polynomials using a Smith inequality for involutions in wrapped Floer homology. To this end, we investigate a family of real Lagrangians in those Milnor fibers whose topology can be systematically described in terms of the join construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13896 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Volume growth via real Lagrangians in Milnor fibers of Brieskorn polynomials Kim, Joontae Kwon, Myeonggi Symplectic Geometry Dynamical Systems Geometric Topology In this paper we study the volume growth in the component of fibered twists in Milnor fibers of Brieskorn polynomials. We obtain a uniform lower bound of the volume growth for a class of Brieskorn polynomials using a Smith inequality for involutions in wrapped Floer homology. To this end, we investigate a family of real Lagrangians in those Milnor fibers whose topology can be systematically described in terms of the join construction. |
| title | Volume growth via real Lagrangians in Milnor fibers of Brieskorn polynomials |
| topic | Symplectic Geometry Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2306.13896 |