Journal article icon

Journal article

Kuranishi homology and Kuranishi cohomology

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. Let Y be an orbifold and R a commutative ring or Q-algebra. We define two kinds of Kuranishi homology KH_*(Y;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 space with corners, f : X --> Y smooth, and G "gauge-fixing data" whi...

Expand abstract

Actions


Authors


Publication date:
2007-07-24
Keywords:
Pubs id:
pubs:195870
UUID:
uuid:68cc6d9e-705c-428e-9341-0a0cebe92ff1
Local pid:
pubs:195870
Source identifiers:
195870
Deposit date:
2012-12-19

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP