monodromy in a sentence
Examples
- Equivalently, it is a manifold that is ( if connected ) monodromy acting by affine transformations.
- A change of basepoint merely results in a ( simultaneous ) conjugation of all the monodromy matrices.
- In particular, many of these self-similar groups arise as iterated monodromy groups of complex polynomials.
- However, if the monodromy is nontrivial, there is no such gauge transformation for the whole outside region.
- Iterated monodromy groups of rational functions usually have exotic properties from the point of view of classical group theory.
- This is called the "'monodromy theorem "'and its statement is made precise below.
- The proof of the existence of such differential equations by previously known monodromy matrices is one of the Hilbert problems.
- This Chekanov-Eliashberg invariant yields an invariant for loops of Legendrian knots by considering the monodromy of the loops.
- The monodromy matrices modulo simultaneous conjugation define the "'monodromy data "'of the Fuchsian system.
- The monodromy matrices modulo simultaneous conjugation define the "'monodromy data "'of the Fuchsian system.