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The Monodromy Group

This book presents the monodromy group, underlining the unifying role it plays in a variety of theories and mathematical areas. In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the wea...

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Hlavní autor: Żołądek, Henryk (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Vydání:2nd ed. 2025.
Edice:Monografie Matematyczne, 67
Témata:
Algebra.
Algebraic topology.
Functions of complex variables.
Differential equations.
Special functions.
Algebraic Topology.
Functions of a Complex Variable.
Differential Equations.
Special Functions.
On-line přístup:https://doi.org/10.1007/978-3-031-91270-2
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Obsah:
  • Preface
  • 1. Analytic Functions and Morse Theory
  • 2. Normal Forms of Functions
  • 3. Algebraic Topology of Manifolds
  • 4. Topology and Monodromy of Functions
  • 5. Integrals along Vanishing Cycles
  • 6. Vector Fields and Abelian Integrals
  • 7. Hodge Structures and Period Map
  • 8. Linear Differential Systems
  • 9. Holomorphic Foliations. Local Theory
  • 10. Holomorphic Foliations. Global Aspects
  • 11. The Galois Theory
  • 12. Hypergeometric Functions
  • Bibliography
  • Index.

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