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Solomon Lefschetz
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Lefschetz, Solomon 

Born Sept. 3, 1884, in Moscow. American mathematician.

Lefschetz was appointed a professor at Princeton University in 1924. He is the author of studies on algebraic geometry (theory of multidimensional algebraic manifolds involving substantial application of topological methods). In topology, Lefschetz, together with H. Hopf, created the general theory of the intersection of cycles in manifolds and is the originator of the algebraic theory of continuous mappings.

WORKS

In Russian translation:
Algebraicheskaia topologiia. Moscow, 1949.
Geometricheskaia teoriia differentsial’nykh uravnenii. Moscow, 1961.


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Also appropriate for physicists, the advanced mathematics textbook describes the Standard Model of elementary particles, a spectral realization of the zeros of the Riemann zeta function, quantum statistical mechanical systems, and a cohomological Lefschetz trace formula.
First, though not a coauthor, there was Solomon Lefschetz, then the grand old man of differential equation theory, who spurred me on to write a piece on nonlinear difference equations.
Prasolov starts with the definition of simplicial homology and cohomology and backs this up with examples and applications, describes calculations, the Euler characteristic and the Lefschetz theorem.
 
 
 
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