Journal article

### Kuranishi homology and Kuranishi cohomology: a User's Guide

Abstract:

A Kuranishi space is a topological space with a Kuranishi structure, defined by Fukaya and Ono. Kuranishi structures occur naturally on moduli spaces of J-holomorphic curves in symplectic geometry. This paper is a brief introduction to the author's book arXiv:0707.3572. Let Y be an orbifold and R a Q-algebra. We define the Kuranishi homology KH_*(Y;R) of Y with coefficients in R. The chain complex KC_*(Y;R) defining KH_*(Y;R) is spanned over R by [X,f,G], for X a compact oriented Kuranishi ...

### Authors

Publication date:
2007-10-30
URN:
uuid:602e5e81-64a9-4407-b96d-038ccda6b5a2
Source identifiers:
195871
Local pid:
pubs:195871
Keywords: