Global functorial hypergestures over general skeleta for musical performance

被引:5
作者
Mazzola, Guerino [1 ]
Mannone, Maria [1 ]
机构
[1] Univ Minnesota, Sch Mus, Minneapolis, MN 55455 USA
关键词
global hypergestures; world-sheets; functoriality; string theory; musical performance; composition; GESTURES;
D O I
10.1080/17459737.2016.1195456
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Musical performance theory using Lagrangian formalism, inspired by physical string theory, has been described in previous research. That approach was restricted to zero-addressed hypergestures of local character, and also to digraph skeleta of simple arrow type. In this article, we extend the theory to hypergestures that are defined functorially over general topological categories as addresses, are global, and are also defined for general skeleta. We also prove several versions of the important Escher Theorem for this general setup. This extension is highly motivated by theoretical and practical musical performance requirements of which we give concrete examples.
引用
收藏
页码:227 / 243
页数:17
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