An algebraic analog of the Virasoro group

Jack Morava

An algebraic analog of the Virasoro group

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arxiv math/0109084 v1 pith:J4IWRIH6 submitted 2001-09-13 math.QA math.AT

Jack Morava This is my paper

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keywords algebraicgrouptheoryanalogappearbehavescircleconstruct

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The group of diffeomorphisms of a circle is not an infinite-dimensional algebraic group, though in many ways it behaves as if it were. Here we construct an algebraic model for this object, and discuss some of its representations, which appear in the Kontsevich-Witten theory of two-dimensional topological gravity through the homotopy theory of moduli spaces.

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On a complex topological orientation for circle-equivariant K-theory
math.KT 2025-05 reject novelty 4.0 of 10

The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.

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