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PreprintarXiv licencearXiv

Classical BV Pushforward

  • Xin Geng
  • Andrey Losev
  • Vyacheslav Lysov
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Abstract

We define the classical BV pushforward and establish its two main properties. First, we prove that it maps solutions of the classical master equation (CME) on the total space to solutions of the CME on the smaller space. Second, we prove that, for isolated critical points, it maps BV canonically equivalent solutions to BV canonically equivalent solutions. We illustrate the construction with examples and discuss its applications.

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Cite

BibTeXRIS
BibTeX
@misc{geng2026classical,
  title = {{Classical BV Pushforward}},
  author = {Xin Geng and Andrey Losev and Vyacheslav Lysov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34533},
  eprint = {2609.34533},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34533},
}
RIS
TY  - UNPB
TI  - Classical BV Pushforward
AU  - Xin Geng
AU  - Andrey Losev
AU  - Vyacheslav Lysov
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34533
UR  - https://arxiv.org/abs/2609.34533
AB  - We define the classical BV pushforward and establish its two main properties. First, we prove that it maps solutions of the classical master equation (CME) on the total space to solutions of the CME on the smaller space. Second, we prove that, for isolated critical points, it maps BV canonically equivalent solutions to BV canonically equivalent solutions. We illustrate the construction with examples and discuss its applications.
ER  -