Subgroups of mapping class groups from the geometrical viewpoint | Zendy

Richard P. Kent | Zendy; Christopher J. Leininger | Zendy

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Subgroups of mapping class groups from the geometrical viewpoint

Author(s) -

Richard P. Kent,

Christopher J. Leininger

Publication year - 2007

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

SCImago Journal Rank - 0.106

H-Index - 12

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/432/08306

Subject(s) - mathematics , analogy , class (philosophy) , point (geometry) , natural (archaeology) , beauty , algebra over a field , pure mathematics , epistemology , calculus (dental) , geometry , philosophy , geography , medicine , archaeology , dentistry

Once it is possible to translate any particular proof from one theory to another, then theanalogy has ceased to be productive for this purpose; it would cease to be at all productiveif at one point we had a meaningful and natural way of deriving both theories from a singleone. . . . Gone is the analogy: gone are the two theories, their conicts and their deliciousreciprocal reections, their furtive caresses, their inex plicable quarrels; alas, all is just onetheory, whose majestic beauty can no longer excite us.— from Andre´ Weil’s 1940 letter to Simone Weil

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