41 citations · 300 across the 34 of their papers we have counts for
7 papers · 1 filter
On and Weyl group invariants
Diarmuid Crowley, Xing Gu
For the projective unitary group with a maximal torus and Weyl group , we show that the integral restriction homomorphism \[ρ_{PU_n} \colon H^*(BPU_n;\mathbb{Z…
On The Topological Period-Index Problem over 8-manifolds
Diarmuid Crowley, Xing Gu, Christian Haesemeyer
We establish upper bounds of the indices of topological Brauer classes over a closed orientable 8-manifolds. In particular, we verify the Topological Period-Index Conjecture (TPIC)…
The Poincaré-Hopf Theorem for line fields revisited
Diarmuid Crowley, Mark Grant
A Poincaré-Hopf Theorem for line fields with point singularities on orientable surfaces can be found Hopf's 1956 Lecture Notes on Differential Geometry. In 1955 Markus presented su…
The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3
Diarmuid Crowley, Johannes Nordström
We define the Bianchi-Massey tensor of a topological space X to be a linear map from a subquotient of the fourth tensor power of H*(X). We then prove that if M is a closed (n-1)-co…
The rational classification of links of codimension >2
Diarmuid Crowley, Steven C. Ferry, Mikhail Skopenkov
Fix an integer m and a multi-index p = (p_1, ..., p_r) of integers p_i < m-2. The set of links of codimension > 2, with multi-index p, E(p, m), is the set of smooth isotopy classes…
A classification of -bundles over
Diarmuid Crowley, Christine M. Escher
We classify the total spaces of bundles over the four sphere with fiber a three sphere up to orientation preserving and reversing homotopy equivalence, homeomorphism and diffeomorp…
A classification of S^3-bundles over S^4
Boris Botvinnik, Christine Escher
The paper is withdrawn due to some errors.