We describe a vanishing result on the cohomology of a cochain complex associated to the
moduli of chains of finite subgroup schemes on elliptic curves. These results have …

Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology
without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain …

In the early 1970s, Quillen [55] noticed a strong connection between 1-parameter formal Lie
groups and cohomology theories with a natural theory of Chern classes. The algebraic …

We want to discuss various applications of modular forms in topology. The starting point is
elliptic genus and its generalizations. The main techniques are the Atiyah-Singer index …

Let A2 (n)= Γ2 (n)\S2 be the quotient of Siegel's space of degree 2 by the principal
congruence subgroup of level n in Sp (4, Z). This is the moduli space of principally polarized …

This thesis mainly concerns the cohomology of the moduli spaces M3 [2] and M3, 1 [2] of
genus 3 curves with level 2 structure without respectively with a marked point and some of …

A famous theorem of Nakaoka asserts that the cohomology of the symmetric group
stabilizes. The first author generalized this theorem to non‐trivial coefficient systems, in the …

We prove a congruence criterion for the algebraic theory of power operations in Morava E-
theory, analogous to Wilkerson's congruence criterion for torsion free λ-rings. In addition, we …

In the present notes we generalize the classical work of Demazure [Invariants sym\'etriques
entiers des groupes de Weyl et torsion] to arbitrary oriented cohomology theories and formal …

THE EQUIVARIANT COHOMOLOGY RING Page 264 http://dx. doi. org/10.1090/conm/258/04068
Contemporary Mathematics Volume 258, 2000 THE EQUIVARIANT COHOMOLOGY RING OF …