Parody Expressed in Thom Browne's Collection

Models for Computer Generated Parody

This paper outlines two approaches to the construction of computer systems that generate prose in the style of a given author. The first involves using intuitive notions of stylistic trademarks to construct a grammar that characterizes a particular author—in this case, Ernest Hemingway. The second uses statistical methods for inferring a grammar from samples of an author’s work—in this instance...

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...

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...

Beyond the "Holy See": Parody and Narrative Assemblage in "Cyclops"