Brane structures in microlocal sheaf theory
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2017
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| _version_ | 1866910469826019328 |
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| author | Jin, Xin Treumann, David |
| author_facet | Jin, Xin Treumann, David |
| contents | Let $L$ be an exact Lagrangian submanifold of a cotangent bundle $T^* M$, asymptotic to a Legendrian submanifold $Λ\subset T^{\infty} M$. We study a locally constant sheaf of $\infty$-categories on $L$, called the sheaf of brane structures or $\mathrm{Brane}_L$. Its fiber is the $\infty$-category of spectra, and we construct a Hamiltonian invariant, fully faithful functor from $Γ(L,\mathrm{Brane}_L)$ to the $\infty$-category of sheaves of spectra on $M$ with singular support in $Λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1704_04291 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Brane structures in microlocal sheaf theory Jin, Xin Treumann, David Symplectic Geometry Algebraic Topology Let $L$ be an exact Lagrangian submanifold of a cotangent bundle $T^* M$, asymptotic to a Legendrian submanifold $Λ\subset T^{\infty} M$. We study a locally constant sheaf of $\infty$-categories on $L$, called the sheaf of brane structures or $\mathrm{Brane}_L$. Its fiber is the $\infty$-category of spectra, and we construct a Hamiltonian invariant, fully faithful functor from $Γ(L,\mathrm{Brane}_L)$ to the $\infty$-category of sheaves of spectra on $M$ with singular support in $Λ$. |
| title | Brane structures in microlocal sheaf theory |
| topic | Symplectic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/1704.04291 |