@inproceedings{45b01e10e5064d15b9348bf52459bb7f,
title = "Hypergesture homology for performance stemmata with lie operators",
abstract = "Mathematical performance theory [1] uses a model of performative unfolding that is based on {"}sexual propagation{"} of successive performance refinements. It is formally described by a tree-shaped diagram, the performance stemma, starting at the primary {"}mother{"} performance that ramifies to a series of {"}daughter{"} performances. This propagation mechanism is induced by a series of performance operators stemming from the composition's music analysis. In this paper we refine such networks to performance hypergestures whose curves represent continuous transitions from mother to daughter performances. This level of description uses the theory of Lie-type performance operators and enables a detailed analysis of different performative transition strategies. We then calculate the singular performance hypergesture homology H1 and discuss its significance for the classification of transitional strategies.",
keywords = "Hypergestures, Lie Operators, Performance Fields, Singular Homology, Stemma Theory",
author = "Guerino Mazzola",
year = "2013",
doi = "10.1007/978-3-642-39357-0_11",
language = "English (US)",
isbn = "9783642393563",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "138--150",
booktitle = "Mathematics and Computation in Music - 4th International Conference, MCM 2013, Proceedings",
note = "4th International Conference on Mathematics and Computation in Music, MCM 2013 ; Conference date: 12-06-2013 Through 14-06-2013",
}