# A Note on Semidensities in Antisymplectic Geometry

Source: [A Note on Semidensities in Antisymplectic Geometry](<https://www.sota2.com/research/paper/68fa31d01e209131ce88258c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:06:29.581Z

Authors: K. Bering

Published: 2006-04-17T19:49:02.000Z

## Abstract

We revisit Khudaverdian's geometric construction of an odd nilpotent operator \\Delta\_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \\Delta\_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/0604117>)

[PDF](<https://arxiv.org/pdf/hep-th/0604117.pdf>)