Definitions

from The Century Dictionary.

  • noun In mathematics:
  • noun The characteristic property that, if the argument returns by any path to its original value, the function also returns to its original value.
  • noun The property that the curves described by a revolution or rotation through four right angles are closed.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun mathematics The globalization of local morphisms in category theory

Etymologies

Sorry, no etymologies found.

Support

Help support Wordnik (and make this page ad-free) by adopting the word monodromy.

Examples

  • On the monodromy theorem for isolated hypersurface singularities.

    RegEM « Climate Audit 2006

  • On the monodromy theorem for isolated hypersurface singularities.

    Spurious Significance #1 « Climate Audit 2005

  • The author indeed admits that the phase monodromy can be arbitrary in the hydrodynamical theory - but he views it as an advantage over the conventional quantum mechanics.

    The Reference Frame 2010

  • These new techniques, which are of great interest in their own right, are first developed and then used to calculate the geometric monodromy groups attached to some quite specific universal families of (L-functions attached to) character sums over finite fields.

    AvaxHome RSS: 2009

  • Up to now, nearly all techniques for determining geometric monodromy groups have relied, at least in part, on local information.

    AvaxHome RSS: 2009

  • Move on if you don’t care about the details, but the issue is that you need to have a more subtle braiding such that the monodromy matrices that you get by doing various exchanges are non-Abelian, and that they furnish a representation of the Unitary group U (N) for an N-dimensional Hilbert space.

    Aspen Report: New Strides on the Road to a Quantum Computer cjohnson 2005

  • "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family.

    AvaxHome RSS: 2009

Comments

Log in or sign up to get involved in the conversation. It's quick and easy.