Abstract
This paper gives a conceptual formulation of Kontsevich's 'dual construction' producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction-whilst equivalent to the original one-is combinatorics-free and is based on the Batalin-Vilkovisky formalism, from which its gauge independence is immediate.
Original language | English |
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Pages (from-to) | 555-575 |
Number of pages | 21 |
Journal | Journal of Geometry and Physics |
Volume | 59 |
Issue number | 5 |
DOIs | |
State | Published - May 2009 |
Keywords
- Feynman diagrams
- Frobenius algebra
- Graph cohomology
- Odd symplectic geometry