13 citations · 16 across the 3 of their papers we have counts for
3 papers
math.DG2017
Cohomologies on hypercomplex manifolds
Mehdi Lejmi, Patrick Weber
We review some cohomological aspects of complex and hypercomplex manifolds and underline the differences between both realms. Furthermore, we try to highlight the similarities betw…
math.DG2016★ 3 cited
Quaternionic Bott-Chern cohomology and existence of HKT metrics
Mehdi Lejmi, Patrick Weber
We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a cri…
math.DG2015★ 13 cited
Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
Yuri Kordyukov, Mehdi Lejmi, Patrick Weber
We define Seiberg-Witten equations on closed manifolds endowed with a Riemannian foliation of codimension 4. When the foliation is taut, we show compactness of the moduli space und…