the Hirzebruch signature theorem (sometimes called the Hirzebruch index theorem) is Friedrich Hirzebruch's 1954 result expressing the signature of a...

Riemann–Roch theorem and its generalization the Hirzebruch–Riemann–Roch theorem, and the Hirzebruch signature theorem. Friedrich Hirzebruch and Armand Borel...

been studied in detail, starting with Rokhlin's theorem for 4-manifolds, and Hirzebruch signature theorem. Given a connected and oriented manifold M of...

even. It has signature ( 4 − d 2 ) d / 3 {\displaystyle (4-d^{2})d/3} , which can be seen from Friedrich Hirzebruch's signature theorem. The case d =...

Riemann–Roch theorem; it was also a precursor of the Atiyah–Singer index theorem and Grothendieck's powerful generalisation. Hirzebruch's book Neue topologische...

theorem (functional analysis) Hindman's theorem (Ramsey theory) Hinge theorem (geometry) Hironaka theorem (algebraic geometry) Hirzebruch signature theorem...

higher indices of the signature operator are homotopy-invariant. Hirzebruch signature theorem Pontryagin class Friedrich Hirzebruch Michael Atiyah Isadore...

[M]\rangle } . This is now known as the Hirzebruch signature theorem (or sometimes the Hirzebruch index theorem). The fact that L 2 {\displaystyle L_{2}}...

hypothetical cobordism invalidates certain properties of the Hirzebruch signature theorem. Exotic sphere Oriented cobordism Ranicki, Andrew; Roe, John...

the Riemann–Roch theorem and its generalization the Hirzebruch–Riemann–Roch theorem, and the Hirzebruch signature theorem. Hirzebruch and Borel had proved...

the linear combination of Pontryagin numbers giving the signature see Hirzebruch signature theorem. There is also a quaternionic Pontryagin class, for vector...

Atiyah, Patodi, and Singer (1973, 1975) who used it to extend the Hirzebruch signature theorem to manifolds with boundary. The name comes from the fact that...

{Numerator} \left({\frac {B_{4n}}{4n}}\right).} The Hirzebruch signature theorem for the L genus of a smooth oriented closed manifold of dimension...

which is expressed in terms of the Pontrjagin numbers by the Hirzebruch signature theorem. For example, for any i1, ..., ik ≥ 1 σ ( P 2 i 1 ( C ) × ⋯ ×...

mathematics, the signature defect of a singularity measures the correction that a singularity contributes to the signature theorem. Hirzebruch (1973) introduced...

by the Hirzebruch signature theorem c12 (X) = 2e + 3σ, where e = c2(X) is the topological Euler characteristic and σ = b+ − b− is the signature of the...

c_{2}(X)=e(X)} is the topological Euler characteristic and by the Thom–Hirzebruch signature theorem c 1 2 ( X ) = 2 e ( X ) + 3 σ ( X ) {\displaystyle c_{1}^{2}(X)=2e(X)+3\sigma...

h-cobordism h-cobordism. Hilton–Milnor theorem The Hilton–Milnor theorem. Hirzebruch Hirzebruch signature theorem. H-space An H-space is a based space that...

Society. 45: 147–164. doi:10.1098/rsbm.1999.0011. Chern, Shiing-Shen; Hirzebruch, Friedrich (2000). Wolf Prize in Mathematics. World Scientific. p. 294...

4-manifolds William Browder, Surgery on simply-connected manifolds Friedrich Hirzebruch, Thomas Berger, Rainer Jung, Manifolds and Modular Forms Ib Madsen, R...

minimal rational surfaces are P2 itself and the Hirzebruch surfaces Σn for n = 0 or n ≥ 2. (The Hirzebruch surface Σn is the P1 bundle over P1 associated...

various characteristic classes, such as Euler characteristic, the Hirzebruch signature (Pontryagin class), the Rarita–Schwinger index (spin-3/2 index),...

these homology theories evaluated at a point, the Euler homology and the Hirzebruch homology respectively. Suppose, one has a closed embedding i : N ↪ M {\displaystyle...