Transverse invariants and exotic surfaces in the 4-ball
Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish the surfaces using the maps they induce on perturbed link Floer homolog...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Mathematical Sciences Publishers
2021
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| _version_ | 1826301419515281408 |
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| author | Juhasz, A Miller, M Zemke, I |
| author_facet | Juhasz, A Miller, M Zemke, I |
| author_sort | Juhasz, A |
| collection | OXFORD |
| description | Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish the surfaces using the maps they induce on perturbed link Floer homology. Along the way, we show that the cobordism map induced by an ascending surface in a Weinstein cobordism preserves the transverse invariant in link Floer homology. |
| first_indexed | 2024-03-07T05:32:09Z |
| format | Journal article |
| id | oxford-uuid:e2a16f5e-359a-48b7-af62-7a9da383c871 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:32:09Z |
| publishDate | 2021 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:e2a16f5e-359a-48b7-af62-7a9da383c8712022-03-27T10:02:53ZTransverse invariants and exotic surfaces in the 4-ballJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e2a16f5e-359a-48b7-af62-7a9da383c871EnglishSymplectic ElementsMathematical Sciences Publishers2021Juhasz, AMiller, MZemke, IUsing 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish the surfaces using the maps they induce on perturbed link Floer homology. Along the way, we show that the cobordism map induced by an ascending surface in a Weinstein cobordism preserves the transverse invariant in link Floer homology. |
| spellingShingle | Juhasz, A Miller, M Zemke, I Transverse invariants and exotic surfaces in the 4-ball |
| title | Transverse invariants and exotic surfaces in the 4-ball |
| title_full | Transverse invariants and exotic surfaces in the 4-ball |
| title_fullStr | Transverse invariants and exotic surfaces in the 4-ball |
| title_full_unstemmed | Transverse invariants and exotic surfaces in the 4-ball |
| title_short | Transverse invariants and exotic surfaces in the 4-ball |
| title_sort | transverse invariants and exotic surfaces in the 4 ball |
| work_keys_str_mv | AT juhasza transverseinvariantsandexoticsurfacesinthe4ball AT millerm transverseinvariantsandexoticsurfacesinthe4ball AT zemkei transverseinvariantsandexoticsurfacesinthe4ball |