In this paper a universal formula is given for the characteristic classes dual to the cycles of
multisingularities of holomorphic maps in terms of the so-called residual polynomials. The …

We characterize the integral cohomology and the rational homotopy type of the maximal
Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations …

CET ARTICLE est consacre a la demonstration d'une conjecture que Landweber et Stong
[83 ont imise dans leurs recherches sur les S'-varietes spinorielles et qui donne la …

To set the scene, we begin here by reviewing basics of homotopy theory via model category
theory [Quillen (1967)](review in [Hovey (1999)][Hirschhorn (2003)][Lurie (2009a), A. 2]) and …

This paper provides a systematic presentation of the connection between the theory of one-
dimensional formal groups and the theory of unitary cobordism. Two new algebraic concepts …

We extend the Chern character on K-theory, in its generalization to the Chern-Dold
character on generalized cohomology theories, further to (twisted, differential) non-abelian …

The notion of an oriented cohomology pretheory on algebraic varieties is introduced and a
Riemann-Roch theorem for ring morphisms between oriented pretheories is proved. An …

Abstract CONTENTS Introduction § 1. Formal groups § 2. Cobordism and bordism theory §
3. The formal group of geometric cobordisms § 4. Two-valued formal groups and power …

Our primary aim is to develop a theory of equivariant genera for stably complex manifolds
equipped with compatible actions of a torus T k. In the case of omnioriented quasitoric …

The celebrated Green-Schwarz mechanism in heterotic string theory has been suggested to
secretly underly a higher gauge theoretic phenomenon, embodying a higher Bianchi identity …