×

flat connections in a sentence

  1. This shows the need to restrict to flat connections with regular singularities in the Riemann Hilbert correspondence.
  2. Flat connections are determined entirely by holonomies around noncontractible cycles on the base " M ".
  3. This natural flat connection is a Gauss Manin connection  " and can be described by the Picard Fuchs equation.
  4. This equation corresponds to a flat connection on the trivial algebraic line bundle over " A " 1.
  5. A much more elementary theorem than the Riemann Hilbert correspondence states that flat connections on holomorphic vector bundles are determined up to isomorphism by their monodromy.
  6. It's difficult to find flat connections in a sentence.
  7. Since the functions " ce z " are defined on the whole affine line " A " 1, the monodromy of this flat connection is trivial.
  8. They can also be regarding as a natural extension of the Atiyah Bott symplectic structure on spaces of flat connections on Riemann surfaces to the world of meromorphic geometry-a perspective pursued by Philip Boalch.
  9. One of the driving forces for the study of Hamiltonian group action is its application to moduli spaces; for example, the moduli space of flat connections . ( This article however focuses on finite-dimensional spaces .)
  10. But this flat connection is not isomorphic to the obvious flat connection on the trivial line bundle over " A " 1 ( as an algebraic vector bundle with flat connection ), because its solutions do not have moderate growth at  ".
  11. But this flat connection is not isomorphic to the obvious flat connection on the trivial line bundle over " A " 1 ( as an algebraic vector bundle with flat connection ), because its solutions do not have moderate growth at  ".
  12. But this flat connection is not isomorphic to the obvious flat connection on the trivial line bundle over " A " 1 ( as an algebraic vector bundle with flat connection ), because its solutions do not have moderate growth at  ".
  13. On the other hand, if we work with holomorphic ( rather than algebraic ) vector bundles with flat connection on a noncompact complex manifold such as " A " 1 = "'C "', then the notion of regular singularities is not defined.
  14. The condition of regular singularities means that locally constant sections of the bundle ( with respect to the flat connection ) have moderate growth at points of " Y  " X ", where " Y " is an algebraic compactification of " X ".

Related Words

  1. flat conductor cable in a sentence
  2. flat condyloma in a sentence
  3. flat configuration in a sentence
  4. flat connect in a sentence
  5. flat connection in a sentence
  6. flat conveyor belt in a sentence
  7. flat cooking in a sentence
  8. flat copper in a sentence
  9. flat cornea in a sentence
  10. flat cost in a sentence
PC Version简体繁體日本語日本語