Categories of Gestures over Topological Categories

Guerino Mazzola; René Guitart; Jocelyn Ho; Alex Lubet; Maria Mannone; Matt Rahaim; Florian Thalmann

doi:10.1007/978-3-319-64481-3_7

Categories of Gestures over Topological Categories

Guerino Mazzola, René Guitart, Jocelyn Ho, Alex Lubet, Maria Mannone, Matt Rahaim, Florian Thalmann

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12. We discuss first applications thereof for topological groups, and then more concretely gestures in modulation processes in Beethoven’s Hammerklavier sonata. The latter offers a first concretization of answers to Lewin’s big question from [605] concerning characteristic gestures. This research is a first step towards a replacement of Fregean functional abstraction by gestural dynamics.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	937-964
Number of pages	28
DOIs	https://doi.org/10.1007/978-3-319-64481-3_7
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.

Publisher link

10.1007/978-3-319-64481-3_7

Find It

Find It at U of M Libraries

Cite this

@inbook{d410e35a6e7c43709c2f8ce9f4730907,

title = "Categories of Gestures over Topological Categories",

abstract = "We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12. We discuss first applications thereof for topological groups, and then more concretely gestures in modulation processes in Beethoven{\textquoteright}s Hammerklavier sonata. The latter offers a first concretization of answers to Lewin{\textquoteright}s big question from [605] concerning characteristic gestures. This research is a first step towards a replacement of Fregean functional abstraction by gestural dynamics.",

author = "Guerino Mazzola and Ren{\'e} Guitart and Jocelyn Ho and Alex Lubet and Maria Mannone and Matt Rahaim and Florian Thalmann",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2017",

doi = "10.1007/978-3-319-64481-3_7",

language = "English (US)",

series = "Computational Music Science",

publisher = "Springer Nature",

pages = "937--964",

booktitle = "Computational Music Science",

address = "United States",

}

TY - CHAP

T1 - Categories of Gestures over Topological Categories

AU - Mazzola, Guerino

AU - Guitart, René

AU - Ho, Jocelyn

AU - Lubet, Alex

AU - Mannone, Maria

AU - Rahaim, Matt

AU - Thalmann, Florian

PY - 2017

Y1 - 2017

N2 - We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12. We discuss first applications thereof for topological groups, and then more concretely gestures in modulation processes in Beethoven’s Hammerklavier sonata. The latter offers a first concretization of answers to Lewin’s big question from [605] concerning characteristic gestures. This research is a first step towards a replacement of Fregean functional abstraction by gestural dynamics.

AB - We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12. We discuss first applications thereof for topological groups, and then more concretely gestures in modulation processes in Beethoven’s Hammerklavier sonata. The latter offers a first concretization of answers to Lewin’s big question from [605] concerning characteristic gestures. This research is a first step towards a replacement of Fregean functional abstraction by gestural dynamics.

UR - http://www.scopus.com/inward/record.url?scp=85136631782&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85136631782&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-64481-3_7

DO - 10.1007/978-3-319-64481-3_7

M3 - Chapter

AN - SCOPUS:85136631782

T3 - Computational Music Science

SP - 937

EP - 964

BT - Computational Music Science

PB - Springer Nature

ER -

Categories of Gestures over Topological Categories

Abstract

Publication series

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this