1996/12/06 by Tristan Hübsch, Tristan Hubsch · 2 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Cohomology #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Intersection (aeronautics) #Intersection theory #Prime (order theory) #String (physics) #String theory #Type (biology) #Zero (linguistics) #hep-th
paper · pdf · doi:10.1142/s0217732397000546
published in Modern Physics Letters A 12(08), 521-533 (World Scientific) · 15 pages, TeX + harvmac, no figures
arxiv created 1996/12/06 · openalex publication_date 1997/03/14 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
String theory has already motivated, suggested, and sometimes well-nigh proved a number of interesting and sometimes unexpected mathematical results, such as mirror symmetry. A careful examination of the behavior of string propagation on (mildly) singular varieties similarly suggests a new type of (co)homology theory. It has the "good behavior" of the well-established intersection (co)homology and L 2 -cohomology, but is markedly different in some aspects. For one, unlike the intersection (co)homology and the L 2 -cohomology (or any other known thus far), this new cohomology is symmetric with respect to the mirror map. Among the available choices, this makes it into a prime candidate for describing the string theory zero modes in geometrical terms.