Thom Roberts Reads Crowns

Ryan Roberts

The walls of the Louvre are covered with artistic masterpieces, widely recognized as some of the most treasured, creative works known to man. The unique stroke of a brush or the layering of paint can distinguish these geniuses from the masses. Despite the ability to label these pieces of art as especially creative, it remains unclear how one can truly qualify the defining characteristics of cre...

Craige Roberts

Farkas (2002) argues that three types of uses of indefinite NPs that are often deemed specific do not actually form a natural class. The varieties of specificity she considers are: 1. partitivity: indefinite NPs with interpretations like that of English some of the books 2. scopal specificity: indefinite NPs that take widest scope, sometimes out of scope islands, and/or in some languages morpho...

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...

Kyle Roberts

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.