$L^2$-torsion of fibrations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909379387719680 |
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| author | Sun, Chengzhang |
| author_facet | Sun, Chengzhang |
| contents | The paper studies the $L^2$-torsion of fibrations, focusing on cases that relax acyclicity and the determinant class condition. We prove the sum formula and the product formula for $L^2$-torsion in the extended abelian category. The desired formula for $L^2$-torsion of a simple fibration is obtained under the assumption that the fibers have zero Euler characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04254 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^2$-torsion of fibrations Sun, Chengzhang Geometric Topology Differential Geometry The paper studies the $L^2$-torsion of fibrations, focusing on cases that relax acyclicity and the determinant class condition. We prove the sum formula and the product formula for $L^2$-torsion in the extended abelian category. The desired formula for $L^2$-torsion of a simple fibration is obtained under the assumption that the fibers have zero Euler characteristic. |
| title | $L^2$-torsion of fibrations |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2411.04254 |