Moduli Space Cohomology and Wavefunctions in 3D Quantum Gravity

TL;DR

This paper explores the cohomology of moduli spaces and their relation to wavefunctions in 3D quantum gravity, using field theoretic analogs of Donaldson polynomials, with potential extensions to higher dimensions.

Contribution

It introduces a method to derive wavefunctionals in 3D quantum gravity from moduli space cohomology, generalizable to four and other dimensions.

Findings

Wavefunctionals linked to moduli space cohomology.

Method applicable to higher-dimensional theories.

Provides a new perspective on quantum gravity wavefunctions.

Abstract

Wavefunctionals of three dimensional quantum gravity are extracted from the 3D field theoretic analogs of the four dimensional Donaldson polynomials. Our procedure is generalizable to four and other dimensions. This is a summary of a talk presented at the Seventh Marcel Grossmann Meeting on General Relativity, Stanford University, Stanford, CA, USA, July 24 - 30, 1994