3 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
Obstructions to almost complex structures following Massey
Michael Albanese, Aleksandar Milivojevic
We provide proofs of two theorems stated by Massey in 1961, concerning the obstructions to finding complex structures on real vector bundles. In addition, we determine the second o…
Spin^h and further generalisations of spin
Michael Albanese, Aleksandar Milivojevic
The question of which manifolds are spin or spin^c has a simple and complete answer. In this paper we address the same question for spin^h manifolds, which are less studied but hav…
Connected sums of almost complex manifolds, products of rational homology spheres, and the twisted spin^c Dirac operator
Michael Albanese, Aleksandar Milivojevic
We record an answer to the question "In which dimensions is the connected sum of two closed almost complex manifolds necessarily an almost complex manifold?". In the process of doi…
On the minimal sum of Betti numbers of an almost complex manifold
Michael Albanese, Aleksandar Milivojevic
We show that the only rational homology spheres which can admit almost complex structures occur in dimensions two and six. Moreover, we provide infinitely many examples of six-dime…