Hirzebruch

Some articles on hirzebruch:

Hirzebruch Surface
... In mathematics, a Hirzebruch surface is a ruled surface over the projective line ... They were studied by Friedrich Hirzebruch (1951) ...
Hirzebruch–Riemann–Roch Theorem
... In mathematics, the Hirzebruch–Riemann–Roch theorem, named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch, is Hirzebruch's 1954 result contributing to ... and paved the way to the Grothendieck–Hirzebruch–Riemann–Roch theorem proved about three years later ...
Genus Of A Multiplicative Sequence - L Genus and The Hirzebruch Signature Theorem
... Friedrich Hirzebruch showed that the L genus of M in dimension 4n evaluated on the fundamental class of M, is equal to, the signature of M (i.e ... cohomology group of M ) This is now known as the Hirzebruch signature theorem (or sometimes the Hirzebruch index theorem) ... that the signature was given by some linear combination of Pontryagin numbers, and Hirzebruch found the exact formula for this linear combination given above ...
Friedrich Hirzebruch - Biography
... Hirzebruch was born in Hamm, Westphalia in 1927 ... The Hirzebruch–Riemann–Roch theorem (1954) for complex manifolds was a major advance and quickly became part of the mainstream developments around the classical Riemann–Roch theorem it was also a precursor ... Hirzebruch's book Neue topologische Methoden in der algebraischen Geometrie (1956) was a basic text for the 'new methods' of sheaf theory, in complex algebraic geometry ...
Atiyah–Singer Index Theorem - Examples - Hirzebruch–Riemann–Roch Theorem
... and analytical indices we get the Hirzebruch–Riemann–Roch theorem ... In fact we get a generalization of it to all complex manifolds Hirzebruch's proof only worked for projective complex manifolds X ... This derivation of the Hirzebruch–Riemann–Roch theorem is more natural if we use the index theorem for elliptic complexes rather than elliptic operators ...