TY - BOOK AU - Tomiche,F. AU - Tromba,A.J. TI - Index Theorem for Minimal Surfaces of Higher Genus T2 - Memoirs of the American Mathematical Society SN - 9781470401399 AV - QA644 -- .T665 1995eb U1 - 516.3/62 PY - 1995/// CY - Providence PB - American Mathematical Society KW - Minimal surfaces KW - Plateau''s problem KW - Index theorems KW - Electronic books N1 - Intro -- Contents -- 0 Introduction -- 1 The Differential Geometric Approach to Teichmuller Theory -- 2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional -- 3 Review of Some Basic Results in Riemann Surface Theory -- 4 Vector Bundles over Teichmuller Space -- 5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators -- 6 The Corank of the Partial Conformality Operators -- 7 The Corank of the Complete Conformality Operators -- 8 Manifolds of Harmonic Surfaces of Prescribed Branching -- 9 The Index Theorem -- Appendix I A Supplement to the Boundary Regularity Theorems for Minimal Surfaces -- Appendix II Maximal Ideals in Sobolev Algebras of Holomorphic Functions -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113813 ER -