Intersection Spaces, Perverse Sheaves and String Theory

Journal of Singularities
volume 15 (2016), 118-125

Received: 20 September 2014. Received in revised form: 18 January 2015.

DOI: 10.5427/jsing.2016.15f

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Abstract:

We survey recent results describing a perverse sheaf realization of Banagl's intersection space homology in the context of projective hypersurfaces with only isolated singularities. Intersection space homology has been recently proved to be relevant in type IIB string theory, as it provides the correct count of massless 3-branes arising during a Calabi-Yau conifold transition.

Keywords:

Conifolds, string theory, mirror symmetry, hypersurface singularities, Poincaré duality, intersection homology, intersection space homology, perverse sheaves, Milnor fibration, monodromy

Mathematical Subject Classification:

32S25, 32S30, 32S55, 55N33, 57P10, 32S35, 14J33

Author(s) information:

Laurentiu Maxim
Department of Mathematics
University of Wisconsin-Madison
Madison, WI 53706-1388, USA
email: maxim@math.wisc.edu