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Discrete Morse Theory and André–Quillen Homology Brantner, Lukas
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.
Item Metadata
Title |
Discrete Morse Theory and André–Quillen Homology
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-05-26T16:30
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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.
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Extent |
46 minutes
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Harvard University
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Series | |
Date Available |
2017-01-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0339952
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International