Title	Discrete Morse Theory and André–Quillen Homology
Creator	Brantner, Lukas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-26T16:30
Description	We use discrete Morse theory to prove a complementation formula (originally discovered by Björner-Walker) and demonstrate its applicability by computing various equivariant posets of interest in a uniform manner: fixed point spaces of the partition complex, parabolic restrictions of BT buildings in characteristic \(p\), and Young restrictions of the partition complex (thereby giving a short and purely combinatorial proof of a recent theorem of Arone). In joint work with Arone, we link these computations to `AQ for commutative monoid spaces' and provide space-level models for results of Goerss for AQ.
Extent	46 minutes
Subject	Mathematics; Algebraic topology; Category theory; homological algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Harvard University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0339952
URI	http://hdl.handle.net/2429/59809
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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