Galois' Dream: Group Theory and Differential Equations |
Contents
Oth Week No prerequisites | 3 |
2nd Week Equivalence Classes | 19 |
4th Week Fundamental Groups of Surfaces | 33 |
Copyright | |
12 other sections not shown
Other editions - View all
Galois’ Dream: Group Theory and Differential Equations: Group Theory and ... Michio Kuga Limited preview - 1993 |
Galois’ Dream: Group Theory and Differential Equations: Group Theory and ... Michio Kuga Limited preview - 2012 |
Galois’ Dream: Group Theory and Differential Equations: Group Theory and ... Michio Kuga No preview available - 2012 |
Common terms and phrases
algebraic arbitrary arg(p automorphism C₁ and C2 choose closed curve Cº(D complex numbers consider continuous function copiable neighborhood covering map covering space d2w dw define denote dF dz dw dz dz dz Ek,j elements endpoint equivalence class equivalence relation F-invariant Figure finite Formula Fuchsian differential equation Fuchsian type function F fundamental group G₁ Galois covering Group Theory holomorphic functions homeomorphism homotopy class indicial equation initial point injective integer isomorphic Kuga Let f lift linear log(z meromorphic functions monodromy representation N₁ natural numbers notation null-homotopic operation of type P₁ and P2 point of C₁ points with tail pole Proposition quotient space real numbers regular singular points satisfying simply connected solution starting at P2 subgroup subset surjective terminal point topology U₁ universal covering surface w₁ W₁ and W2 w₂ week words z-ai π₁ πι