We prove that the Lawson surface ξg,1 in Lawson’s original notation, which has genus g and can be viewed as a desingularization of two orthogonal great two-spheres in the round three-sphere S3, has index 2g+3 and nullity 6 for any genus g≥2. In particular ξg,1 has no exceptional Jacobi fields, which means that it cannot “flap its wings” at the linearized level and is C1-isolated.
The index and nullity of the Lawson surfaces $\xi_{g,1}$ / Kapouleas, Nikolaos; Wiygul, David. - In: CAMBRIDGE JOURNAL OF MATHEMATICS. - ISSN 2168-0930. - 8:2(2020), pp. 363-405. [10.4310/CJM.2020.v8.n2.a3]
The index and nullity of the Lawson surfaces $\xi_{g,1}$
Wiygul, David
2020-01-01
Abstract
We prove that the Lawson surface ξg,1 in Lawson’s original notation, which has genus g and can be viewed as a desingularization of two orthogonal great two-spheres in the round three-sphere S3, has index 2g+3 and nullity 6 for any genus g≥2. In particular ξg,1 has no exceptional Jacobi fields, which means that it cannot “flap its wings” at the linearized level and is C1-isolated.File in questo prodotto:
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