Monuments secondaires et terrasses bouddhiques d'Ańkor Thom

Microbundles and Thom Classes

In this note we introduce Thorn classes of microbundles. We determine the Thorn class of the Whitney sum as the cup product of Thorn classes and state two applications ; one to Gysin sequences of Whitney sums and one to the Atiyah-Bott-Shapiro duality theorem for Thorn spaces (cf. Atiyah [2]). Thus our main result states tha t for microbundles /xi, JU2 over a compact (topological) manifold X, i...

Les effets secondaires du vaccin anti-poliomyélite

The Motivic Thom Isomorphism

The existence of a good theory of Thom isomorphisms in some rational category of mixed Tate motives would permit a nice interpolation between ideas of Kontsevich on deformation quantization, and ideas of Connes and Kreimer on a Galois theory of renormalization, mediated by Deligne’s ideas on motivic Galois groups.

The Symplectic Thom Conjecture

In this paper, we demonstrate a relation among Seiberg-Witten invariants which arises from embedded surfaces in four-manifolds whose self-intersection number is negative. These relations, together with Taubes’ basic theorems on the Seiberg-Witten invariants of symplectic manifolds, are then used to prove the Symplectic Thom Conjecture: a symplectic surface in a symplectic four-manifold is genus...

Monuments to Academic Carelessness

In 1942, Katherine Frost Bruner published an article titled ‘‘Of psychological writing: Being some valedictory remarks on style.’’ It was published in Journal of Abnormal and Social Psychology, the journal for which she served as editorial assistant between 1937 and 1941. Her collection of advice to writing scholars has been widely quoted, including by several editions of The Publication Manual...