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You searched for +publisher:"ETH Zürich" +contributor:("Merry, Will"). Showing records 1 – 2 of 2 total matches.

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ETH Zürich

1. Singer, Berit. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.

Degree: 2019, ETH Zürich

In this thesis we study Lagrangian cobordisms with the tools provided by Lagrangian quantum homology. In particular, we develop the theory for the setting of Lagrangian cobordisms or Lagrangians with cylindrical ends in a Lefschetz fibration, and put the different versions of the quantum homology groups into relation by a long exact sequence. We prove various practical relations of maps in this long exact sequence and we extract invariants that generalize the notion of discriminants to Lagrangian cobordisms in Lefschetz fibrations. We prove results on the relation of the discriminants of the ends of a cobordism and the cobordism itself. We also give examples arising from Lagrangian spheres and relate the discriminant to open Gromov Witten invariants. We show that for some configurations of Lagrangian spheres the discriminant always vanishes. We study a set of examples that arise from Lefschetz pencils of complex quadric n+1 hypersurfaces of ℂP}n+1 structures and their real part are the Lagrangians of interest. Using the results established in this thesis, we compute the discriminants of all these Lagrangians by reducing the calculation to the previously established case of a real Lagrangian sphere in the quadric. Advisors/Committee Members: Biran, Paul, Merry, Will, Schlenk, Felix.

Subjects/Keywords: Symplectic topology;

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Singer, B. (2019). Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/414580

Chicago Manual of Style (16th Edition):

Singer, Berit. “Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.” 2019. Doctoral Dissertation, ETH Zürich. Accessed May 06, 2021. http://hdl.handle.net/20.500.11850/414580.

MLA Handbook (7th Edition):

Singer, Berit. “Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.” 2019. Web. 06 May 2021.

Vancouver:

Singer B. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. [Internet] [Doctoral dissertation]. ETH Zürich; 2019. [cited 2021 May 06]. Available from: http://hdl.handle.net/20.500.11850/414580.

Council of Science Editors:

Singer B. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. [Doctoral Dissertation]. ETH Zürich; 2019. Available from: http://hdl.handle.net/20.500.11850/414580


ETH Zürich

2. Naef, Kathrin. Translated Points on Dynamically Convex Contact Manifolds.

Degree: 2018, ETH Zürich

Subjects/Keywords: Symplectic geometry; info:eu-repo/classification/ddc/510; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Naef, K. (2018). Translated Points on Dynamically Convex Contact Manifolds. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/263960

Chicago Manual of Style (16th Edition):

Naef, Kathrin. “Translated Points on Dynamically Convex Contact Manifolds.” 2018. Doctoral Dissertation, ETH Zürich. Accessed May 06, 2021. http://hdl.handle.net/20.500.11850/263960.

MLA Handbook (7th Edition):

Naef, Kathrin. “Translated Points on Dynamically Convex Contact Manifolds.” 2018. Web. 06 May 2021.

Vancouver:

Naef K. Translated Points on Dynamically Convex Contact Manifolds. [Internet] [Doctoral dissertation]. ETH Zürich; 2018. [cited 2021 May 06]. Available from: http://hdl.handle.net/20.500.11850/263960.

Council of Science Editors:

Naef K. Translated Points on Dynamically Convex Contact Manifolds. [Doctoral Dissertation]. ETH Zürich; 2018. Available from: http://hdl.handle.net/20.500.11850/263960

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