Open AccessPolyhedral surfaces and determinant of Laplacian
Author(s) -
Alexey Kokotov
Publication year - 2012
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2012-11531-x
Subject(s) - laplace operator , semantics (computer science) , holonomy , genus , surface (topology) , algorithm , computer science , annotation , mathematics , artificial intelligence , geometry , pure mathematics , mathematical analysis , biology , programming language , botany
An explicit formula for the determinant of the Laplacian on a compact polyhedral surface of genus g > 1 g>1 is found. This formula generalizes previously known results for flat surfaces with trivial holonomy and compact polyhedral tori.