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INTEGRAL COHOMOLOGY AND MIRROR SYMMETRY FOR CalabiYau 3folds
, 2005
"... In this paper we compute the integral cohomology groups for all examples of CalabiYau 3folds obtained from hypersurfaces in 4dimensional Gorenstein toric Fano varieties. Among 473 800 776 families of CalabiYau 3folds X corresponding to 4dimensional reflexive polytopes there exist exactly 32 ..."
Abstract

Cited by 33 (6 self)
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In this paper we compute the integral cohomology groups for all examples of CalabiYau 3folds obtained from hypersurfaces in 4dimensional Gorenstein toric Fano varieties. Among 473 800 776 families of CalabiYau 3folds X corresponding to 4dimensional reflexive polytopes there exist exactly 32 families having nontrivial torsion in H ∗ (X, Z). We came to an interesting observation that the torsion subgroups in H 2 and H 3 are exchanged by the mirror symmetry involution.
hepth/0502027 Notes on gauging noneffective group actions
, 2005
"... In this paper we study sigma models in which a noneffective group action has been gauged. Such gauged sigma models turn out to be different from gauged sigma models in which an effectivelyacting group is gauged, because of nonperturbative effects on the worldsheet. We concentrate on finite noneffec ..."
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In this paper we study sigma models in which a noneffective group action has been gauged. Such gauged sigma models turn out to be different from gauged sigma models in which an effectivelyacting group is gauged, because of nonperturbative effects on the worldsheet. We concentrate on finite noneffectivelyacting groups, though we also outline how analogous phenomena also happen in nonfinite noneffectivelyacting groups. We find that understanding deformations along twisted sector moduli in these theories leads one to new presentations of CFT’s, defined by fields valued in roots of unity.