2 papers
math.DG2025
Euler-Poincare characteristic pair of orientable supermanifolds
Mehdi Ghorbani, Fatemeh Alikhani, Saad Varsaie
The Euler-Poincare characteristic, or Euler characteristic in short, is a fundamental topological invariant of compact manifolds that plays a crucial role in a variety of geometric…
math.DG2025
Supertransversality and -symmetric supermanifolds
Fatemeh Alikhani, Mehdi Ghorbani, Saad Varsaie
The main objective of this article is to extend the concept of transversality to supergeometry. Transversality has two important properties in the classical case, namely " stabilit…