Pintér, Gergő and Sándor, András (2024) Cross-caps, triple points and a linking invariant for finitely determined germs. REVISTA MATEMATICA COMPLUTENSE, 37 (1). pp. 299-319. ISSN 1139-1138
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Abstract
It was recently proved that for finitely determined germs : (C2, 0) → (C3, 0) the number C( ) of Whitney umbrella points and the number T ( ) of triple values of a stable deformation are topological invariants. The proof uses the fact that the combination C( ) − 3T ( ) is topological since it equals the linking invariant of the associated immersion S3 S5 introduced by Ekholm and Sz˝ucs. We provide a new, direct proof for this equality. We also clarify the relation between various definitions of the linking invariant.
| Item Type: | Article |
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| Additional Information: | Hypersurface singularities, Non-isolated singularities, Links of singularities, Finite determinacy, Immersion theory, Stable immersions, Cross caps, Topological invariants |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 05 Apr 2024 09:27 |
| Last Modified: | 05 Apr 2024 09:27 |
| URI: | https://real.mtak.hu/id/eprint/191905 |
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