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Dissertation
The homotopy theory of modules of curved A[infinity]-algebras
Doctor of Philosophy (Ph.D.), Drexel University
Sep 2015
DOI:
https://doi.org/10.17918/etd-6665
Abstract
We present a homotopy theory for the category of modules over a curved A[infinity]-algebra over a commutative unital ring. We give a functorial construction of a unital curved dga called the enveloping algebra and demonstrate an equivalence between modules over it and the strict subcategory of modules over the curved A[infinity]-algebra. We prove that these categories admit model structures and that their homotopy categories recover the full homotopy category of modules. We further generalize the results to curved A[infinity]-categories.
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Details
- Title
- The homotopy theory of modules of curved A[infinity]-algebras
- Creators
- Jeffrey Armstrong - DU
- Contributors
- Patrick Clarke (Advisor) - Drexel University (1970-)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Number of pages
- v, 114 pages
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Arts and Sciences; Drexel University; Mathematics
- Other Identifier
- 6665; 991014632401004721