8 citations · 19 across the 12 of their papers we have counts for
6 papers · 1 filter
Holonomy Lie algebras and the LCS formula for subarrangements of A_n
Paulo Lima-Filho, Hal Schenck
If X is the complement of a hypersurface in P^n, then Kohno showed that the nilpotent completion of the fundamental group is isomorphic to the nilpotent completion of the holonomy…
Bigraded Equivariant Cohomology of Real Quadrics
Pedro F. dos Santos, Paulo Lima-Filho
We give a complete description of the bigraded Bredon cohomology ring of smooth projective real quadrics, with coefficients in the constant Mackey functor . These inv…
Algebraic cycles and the classical groups II: Quaternionic cycles
H Blaine Lawson, Paulo Lima-Filho, Marie-Louise Michelsohn
In part I of this work we studied the spaces of real algebraic cycles on a complex projective space P(V), where V carries a real structure, and completely determined their homotopy…
Algebraic Cycles and the Classical Groups - Part I, Real Cycles
H. Blaine Lawson, Paulo Lima-Filho, Marie-Louise Michelsohn
Algebraic cycles on complex projective space P(V) are known to have beautiful and surprising properties. Therefore, when V carries a real or quaternionic structure, it is natural t…
Holomorphic K-theory, algebraic co-cycles, and loop groups
Ralph L. Cohen, Paulo Lima-Filho
In this paper we study the "holomorphic K-theory" of a projective variety, which is defined in terms of the homotopy type of spaces of holomorphic maps from the variety to Grassman…
An algebraic geometric realization of the Chern character
Ralph L. Cohen, Paulo Lima-Filho
Using symmetrized Grassmannians we give an algebraic geometric presentation, in the level of classifying spaces, of the Chern character and its relation to Chern classes. This allo…