Norm coherence for descent of level structures on formal deformations

Abstract

We give a formulation for descent of level structures on deformations of formal groups, and study the compatibility between the descent and a norm construction. Under this framework, we generalize Ando's construction of H-infinity complex orientations for Morava E-theories associated to Honda formal group laws over F_p. We show the existence and uniqueness of such an orientation for any Morava E-theory associated to a formal group law over an algebraic extension of F_p and, in particular, orientations for a family of elliptic cohomology theories. These orientations correspond to coordinates on deformations of formal groups which are compatible with norm maps along descent.

References in corpus (5)

• Algebraic topology and modular forms
• Equivariant symmetric monoidal structures
• Power operations for Morava E-theory of height 2 at the prime 2
• Semistable models for modular curves and power operations for Morava E-theories of height 2
• The Hecke algebra action on Morava E-theory of height 2

Cited by in corpus (3)

• Exotic Multiplications on Periodic Complex Bordism
• Semistable models for modular curves and power operations for Morava E-theories of height 2
• Strictly Commutative Complex Orientations of $Tm{f}_1(N)$