6 citations · 9 across the 6 of their papers we have counts for
6 papers
The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group
Alejandro Adem, Jon F. Carlson, Dikran Karagueuzian +1
In this paper we compute the mod 2 cohomology of the Sylow 2-subgroup of the Higman-Sims group HS, one of the 26 sporadic simple groups. We obtain its Poincare series as well as an…
Stability Theorems for Spaces of Rational Curves
C. P. Boyer, J. C. Hurtubise, R. J. Milgram
Let X be a smooth algebraic variety on which a solvable Lie group acts freely on a dense open orbit. Such varieties include generalized flag varieties, toric varieties, Bott-Samels…
The Geometry of the Space of Holomorphic Maps from a Riemann Surface into Complex Projective Space
S. Kallel, R. J. Milgram
In this paper we study the topology of the spaces Hol(M,P{n},k) of (basepoint preserving) holomorphic maps of a given degree k from a Riemann surface M of genus g>0 into the n-th c…
The cohomology rings of rank 3 simple groups are Cohen-Macaulay
Alejandro Adem, R. James Milgram
In this paper we show that the mod 2 cohomology ring of any finite simple group of rank 3 or less (at the prime 2) must be Cohen-Macaulay.
The cohomology of the McLaughlin group and some associated groups
Alejandro Adem, R. James Milgram
In this paper we compute the mod 2 cohomology of the McLaughlin group, which is one of the sporadic simple groups.
The Atiyah-Jones Conjecture
Charles P. Boyer, Jacques Hurtubise, Benjamin M. Mann +1
The purpose of this note is to announce our proof of the Atiyah-Jones conjecture concerning the topology of the moduli spaces of based SU(2)-instantons over S^4. Full details and p…