Kervaire Invariant - Examples


For the standard embedded torus, the skew-symmetric form is given by (with respect to the standard symplectic basis), and the skew-quadratic refinement is given by with respect to this basis: : the basis curves don't self-link; and : a (1,1) self-links, as in the Hopf fibration. This form thus has Arf invariant 0 (most of its elements have norm 0; it has isotropy index 1), and thus the standard embedded torus has Kervaire invariant 0.

Read more about this topic:  Kervaire Invariant

Other articles related to "example, examples":

... For example, an acronym is a word formed from the initial letter or letters of each of the successive parts or major parts of a compound term (as radar) ... In the examples ananym and metanym, the correct forms (anonym and metonym) were pre-occupied by other meanings ... Other, late 20th century examples, such as hypernym and characternym, are typically incorrectly formed neologisms for which there are more traditional ...
Proverbs in Advertising
... Tatira has given a number of examples of proverbs used in advertising in Zimbabwe ... However, unlike the examples given above in English, all of which are anti-proverbs, Tatira's examples are standard proverbs ... to make a potential customer smile, in one of the Zimbabwean examples "both the content of the proverb and the fact that it is phrased as a proverb secure the ...
English Orthography - Spelling Irregularities - "Ough" Words
... though /oʊ/ as in toe (other examples dough) tough /ʌf/ as in cuff (other examples rough, enough) cough /ɒf/ as in off (other examples Gough (name, some ...

Famous quotes containing the word examples:

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)