Spectral numbers and manifolds with boundary
| Autor: | Katić, Jelena, Milinković, Darko, Nikolić, Jovana |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider a smooth submanifold $N$ with a smooth boundary in an ambient closed manifold $M$ and assign a spectral invariant $c(\alpha,H)$ to every singular homological class $\alpha\in H_*(N)$ and a Hamiltonian $H$ defined on the cotangent bundle $T^*M$. We also derive certain properties of spectral numbers, for example we prove that spectral invariants $c_\pm(H,N)$ associated to the whole Floer homology $HF_*(H,N:M)$ of the submanifold $N$, are limits of the decreasing nested family of open sets. Comment: 29 pages |
| Databáze: | arXiv |
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