BV bialgebra structures in Floer theory and string topology
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912606604754944 |
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| author | Latschev, Janko Oancea, Alexandru |
| author_facet | Latschev, Janko Oancea, Alexandru |
| contents | We derive the notions of BV unital infinitesimal bialgebra and BV Frobenius algebra from the topology of suitable compactifications of moduli spaces of decorated genus 0 curves. We construct these structures respectively on reduced symplectic homology and Rabinowitz Floer homology. As an application, we construct these structures in nonequivariant string topology. We also show how the Lie bialgebra structure in equivariant string topology, and more generally on $S^1$-equivariant symplectic homology, is obtained as a formal consequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16794 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BV bialgebra structures in Floer theory and string topology Latschev, Janko Oancea, Alexandru Symplectic Geometry Algebraic Topology Quantum Algebra We derive the notions of BV unital infinitesimal bialgebra and BV Frobenius algebra from the topology of suitable compactifications of moduli spaces of decorated genus 0 curves. We construct these structures respectively on reduced symplectic homology and Rabinowitz Floer homology. As an application, we construct these structures in nonequivariant string topology. We also show how the Lie bialgebra structure in equivariant string topology, and more generally on $S^1$-equivariant symplectic homology, is obtained as a formal consequence. |
| title | BV bialgebra structures in Floer theory and string topology |
| topic | Symplectic Geometry Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/2402.16794 |