Refined BPS Invariants, Chern-Simons Theory, and the Quantum Dilogarithm
In this thesis, we consider two main subjects: the refined BPS invariants of Calabi-Yau threefolds, and three-dimensional Chern-Simons theory with complex gauge group. We study the wall-crossing behavior of refined BPS invariants using a variety of techniques, including a four-dimensional supergravi...
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https://thesis.library.caltech.edu/5808/1/DimofteTDofficial.pdfhttps://thesis.library.caltech.edu/5808/2/TD_frontmatter.pdf
https://thesis.library.caltech.edu/5808/3/TD_intro.pdf
https://thesis.library.caltech.edu/5808/4/TD_part1.pdf
https://thesis.library.caltech.edu/5808/5/TD_part2.pdf
https://thesis.library.caltech.edu/5808/6/TD_bibliography.pdf
https://thesis.library.caltech.edu/5808/7/thesis.bib
Dimofte, Tudor Dan (2010) Refined BPS Invariants, Chern-Simons Theory, and the Quantum Dilogarithm. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q6WF-D678. https://resolver.caltech.edu/CaltechTHESIS:05142010-131147918 <https://resolver.caltech.edu/CaltechTHESIS:05142010-131147918>