A note on cobordisms of algebraic knots
In this note we use Heegaard Floer homology to study smooth cobordisms of algebraic knots and complex deformations of cusp singularities of curves. The main tool will be the concordance invariant $\nu^+$: we study its behaviour with respect to connected sums, providing an explicit formula in the cas...
| প্রধান লেখক: | , , |
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| বিন্যাস: | Journal article |
| প্রকাশিত: |
Mathematical Sciences Publishers
2017
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| _version_ | 1826301191554859008 |
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| author | Bodnár, J Celoria, D Golla, M |
| author_facet | Bodnár, J Celoria, D Golla, M |
| author_sort | Bodnár, J |
| collection | OXFORD |
| description | In this note we use Heegaard Floer homology to study smooth cobordisms of algebraic knots and complex deformations of cusp singularities of curves. The main tool will be the concordance invariant $\nu^+$: we study its behaviour with respect to connected sums, providing an explicit formula in the case of L-space knots and proving subadditivity in general. |
| first_indexed | 2024-03-07T05:28:39Z |
| format | Journal article |
| id | oxford-uuid:e16e3257-03e5-4066-b518-859d71dab496 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:28:39Z |
| publishDate | 2017 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:e16e3257-03e5-4066-b518-859d71dab4962022-03-27T09:54:29ZA note on cobordisms of algebraic knotsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e16e3257-03e5-4066-b518-859d71dab496Symplectic Elements at OxfordMathematical Sciences Publishers2017Bodnár, JCeloria, DGolla, MIn this note we use Heegaard Floer homology to study smooth cobordisms of algebraic knots and complex deformations of cusp singularities of curves. The main tool will be the concordance invariant $\nu^+$: we study its behaviour with respect to connected sums, providing an explicit formula in the case of L-space knots and proving subadditivity in general. |
| spellingShingle | Bodnár, J Celoria, D Golla, M A note on cobordisms of algebraic knots |
| title | A note on cobordisms of algebraic knots |
| title_full | A note on cobordisms of algebraic knots |
| title_fullStr | A note on cobordisms of algebraic knots |
| title_full_unstemmed | A note on cobordisms of algebraic knots |
| title_short | A note on cobordisms of algebraic knots |
| title_sort | note on cobordisms of algebraic knots |
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