A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.
|Number of pages||10|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - Feb 2004|
All Science Journal Classification (ASJC) codes
- Applied Mathematics