منابع مشابه
Topological Modular Forms of Level 3
We describe and compute the homotopy of spectra of topological modular forms of level 3. We give some computations related to the “building complex” associated to level 3 structures at the prime 2. Finally, we note the existence of a number of connective models of the spectrum TMF(Γ0(3)).
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The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Γ, generated by monodromies of the periods ofX . This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase space H(X). We show that, depending on the choice of polarization, the genus g topological string amplitude is either a holomorphic quasi-modular ...
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Project Summary: Some mathematical notions can be described in both algebraic and geometric ways. The geometric descriptions are sometimes richer and can reveal hidden symmetries. K-theory is an example of a theory that has both and algebraic and geometric description. It links algebraic topology with geometry on curved spaces, to the mutual benefit of both disciplines. We believe that the noti...
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[1] Traditional terminology is that f → f |2kγ is the slash operator, although this name fails to suggest any meaning other than reference to the notation itself. In fact, obviously f(z)→ f(γz)(cz + d)−2k is a left translation operator, albeit complicated by the automorphy factor. That is, this is a right action of SL2(Z) on functions on H, while the group action of SL2(Z) on H is written on th...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2009
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2009.v5.n2.a9