Get to know Hirzebruch better with 3 real example sentences.
Hirzebruch in a sentence
Context around Hirzebruch
- Average sentence length in these examples: 30.7 words
- Position in the sentence: 1 start, 2 middle, 0 end
- Sentence types: 3 statements, 0 questions, 0 exclamations
Corpus analysis for Hirzebruch
- In this selection, "hirzebruch" usually appears in the middle of the sentence. The average example has 30.7 words, and this corpus slice is mostly made up of statements.
- Around the word, friedrich, atiyah, spectral and signature stand out and add context to how "hirzebruch" is used.
- Recognizable usage signals include and friedrich hirzebruch right the and manifolds while hirzebruch s proof. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "hirzebruch" sits close to words such as aabc, aacr and aacsb, which helps place it inside the broader word index.
Example types with hirzebruch
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
In fact the index theorem gave a more powerful result, because its proof applied to all compact complex manifolds, while Hirzebruch's proof only worked for projective manifolds. (28 words)
Michael Atiyah and Friedrich Hirzebruch (right), the creators of topological K-theory The Atiyah–Hirzebruch spectral sequence relates the ordinary cohomology of a space to its generalized cohomology theory. (29 words)
Let ES n be the number of such exotic spheres for n ≥ 2, then : The Hirzebruch signature theorem for the L genus of a smooth oriented closed manifold of dimension 4n also involves Bernoulli numbers. (35 words)
Let ES n be the number of such exotic spheres for n ≥ 2, then : The Hirzebruch signature theorem for the L genus of a smooth oriented closed manifold of dimension 4n also involves Bernoulli numbers. (35 words)
Michael Atiyah and Friedrich Hirzebruch (right), the creators of topological K-theory The Atiyah–Hirzebruch spectral sequence relates the ordinary cohomology of a space to its generalized cohomology theory. (29 words)
In fact the index theorem gave a more powerful result, because its proof applied to all compact complex manifolds, while Hirzebruch's proof only worked for projective manifolds. (28 words)
Example sentences (3)
Michael Atiyah and Friedrich Hirzebruch (right), the creators of topological K-theory The Atiyah–Hirzebruch spectral sequence relates the ordinary cohomology of a space to its generalized cohomology theory.
In fact the index theorem gave a more powerful result, because its proof applied to all compact complex manifolds, while Hirzebruch's proof only worked for projective manifolds.
Let ES n be the number of such exotic spheres for n ≥ 2, then : The Hirzebruch signature theorem for the L genus of a smooth oriented closed manifold of dimension 4n also involves Bernoulli numbers.