## Topological Methods in Nonlinear Analysis

### Morse homotopy and topological conformal field theory

Viktor Fromm

#### Abstract

By studying spaces of flow graphs in a closed oriented manifold, we equip the Morse complex with the operations of an open topological conformal field theory. This complements previous constructions due to R. Cohen et al., K. Costello, K. Fukaya and M. Kontsevich and is also the Morse theoretic counterpart to a conjectural construction of operations on the chain complex of the Lagrangian Floer homology of the zero section of a cotangent bundle, obtained by studying uncompactified moduli spaces of higher genus pseudoholomorphic curves.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 45, Number 1 (2015), 7-37.

Dates
First available in Project Euclid: 30 March 2016

https://projecteuclid.org/euclid.tmna/1459344018

Digital Object Identifier
doi:10.12775/TMNA.2015.001

Mathematical Reviews number (MathSciNet)
MR3365002

Zentralblatt MATH identifier
1373.57047

#### Citation

Fromm, Viktor. Morse homotopy and topological conformal field theory. Topol. Methods Nonlinear Anal. 45 (2015), no. 1, 7--37. doi:10.12775/TMNA.2015.001. https://projecteuclid.org/euclid.tmna/1459344018

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