Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.736750
Title: A∞-resolutions and Massey products on Koszul homology
Author: Frankhuizen, Robin
ISNI:       0000 0004 6500 7799
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 2017
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Abstract:
This work presents a new approach to studying Massey products on Koszul homology and the Golod property using A∞-algebras. In the first part we study rooted monomial rings which includes monomial rings whose Lyubeznik resolution is minimal. We give a combinatorial characterization of the Golod property for this class of monomial rings. In the second part of this thesis we combine our approach with the power of algebraic Morse theory. In this way, we extend our approach to simplicially resolvable rings, that is, rings with minimal simplicial resolution. We show that for simplicially resolvable rings the Golod property is equivalent to the gcd condition. Lastly, we use our tools to give sufficient conditions for the existence of non-trivial Massey products in low degrees.
Supervisor: Grbic, Jelena Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.736750  DOI: Not available
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