Definitions

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

  • noun mathematics A theory associating a system of quotient groups to each topological space.
  • noun mathematics A system of quotient groups associated to a topological space.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

From co- + homology

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Examples

  • Section 33.10 explains how positive/negative frequency splitting along with "holomorphic first sheaf cohomology" plays "a direct role in generating deformations of twistor space."

    Are Changes Brewing and How Does the Mind Fit In? 2008

  • Section 33.9 is six pages of Penrose trying to explain "sheaf cohomology" whose ideas "… are fairly sophisticated mathematically, but actually very natural."

    Are Changes Brewing and How Does the Mind Fit In? 2008

  • This then leads us into some very rich theory of the algebraic topology of the Dirac operator and something called quantum cohomology.

    Dark Matter: Still Dark. Julianne 2008

  • BRST then becomes essentially Lie algebra cohomology, where you construct the invariant, trivial piece of a representation by cancelling a sequence of non-trivial representations against each other.

    String Theory is Losing the Public Debate Sean 2007

  • The action of a real semisimple lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces by Joseph Albert Wolf

    New Song - "You Promised Us" 2007

  • On the mixed Hodge structure on the cohomology of the Milnor fibre.

    RegEM « Climate Audit 2006

  • On the mixed Hodge structure on the cohomology of the Milnor fibre.

    Spurious Significance #1 « Climate Audit 2005

  • Several mathematical concepts have been named after him including the Tate module, Tate curve, Tate cycle, Hodge-Tate decompositions, Tate cohomology, Serre-Tate parameter, and Lubin-Tate group.

    The Earth Times Online Newspaper 2010

  • Several mathematical concepts have been named after him, including the Tate module, Tate curve, Tate cycle, Hodge-Tate decompositions, Tate cohomology, Serre-Tate parameter and

    The Earth Times Online Newspaper 2010

  • This gives rise to a slogan "when you have partitions of unity, sheaf cohomology vanishes."

    Secret Blogging Seminar 2010

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  • Damn! I’ve been using this to mean the study of salmon.

    February 6, 2019