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• W2735458898 abstract "Let $L subset mathbb R times J^1(M)$ be a spin, exact Lagrangian cobordism in the symplectization of the 1-jet space of a smooth manifold $M$. Assume that $L$ has cylindrical Legendrian ends $Lambda_pm subset J^1(M)$. It is well known that the Legendrian contact homology of $Lambda_pm$ can be defined with integer coefficients, via a signed count of pseudo-holomorphic disks in the cotangent bundle of $M$. It is also known that this count can be lifted to a mod 2 count of pseudo-holomorphic disks in the symplectization $mathbb R times J^1(M)$, and that $L$ induces a morphism between the $mathbb Z_2$-valued DGA:s of the ends $Lambda_pm$ in a functorial way. We prove that this hold with integer coefficients as well. The proofs are built on the technique of orienting the moduli spaces of pseudo-holomorphic disks using capping operators at the Reeb chords. We give an expression for how the DGA:s change if we change the capping operators." @default.
• W2735458898 created "2017-07-21" @default.
• W2735458898 creator A5069942574 @default.
• W2735458898 date "2017-07-13" @default.
• W2735458898 modified "2023-09-27" @default.
• W2735458898 title "A note on coherent orientations for exact Lagrangian cobordisms" @default.
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