ABASH 发表于 2025-3-26 21:51:52
Ryuhei Ueharaons have not been written in literatures. In this chapter we present a simple derivation of them in the elliptic case. Our method is based on realizations of the vertex operators as those obtained in the last chapter and can be applied to any quantum group cases once one obtains an appropriate realiLigament 发表于 2025-3-27 01:32:43
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ial regularity results, that is, regularity outside of negligible sets. Secondly, we present three different strategies for proving partial .-regularity results for such systems, where the coefficients may depend also explicitly on the weak solution. More precisely, we explain the main ideas for the脖子 发表于 2025-3-27 10:01:33
Ryuhei Ueharaon of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions...• Preliminary material beginning with the stress-energy tensor, via which monotonMirage 发表于 2025-3-27 15:12:34
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Ryuhei Uehara2) by the restriction to . of the Riemannian connection on the tangent bundle .. Following Atiyah and Singer , we define the . .0 ∈ Г, . of the complexification of the ℤ.-graded bundle (9.2) as the cohomology class of the form . where str stands for the fiberwise supertrace of endomorphisms of aBUCK 发表于 2025-3-27 23:37:09
Ryuhei Uehararoups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions...• Preliminary material beginning with the stress-energy tensor, via which monoton978-3-319-90572-3Series ISSN 1421-1750 Series E-ISSN 2374-0280附录 发表于 2025-3-28 02:58:43
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Ryuhei Uehara framework of noncommutative geometry. One of such problems is the subject of the present book. The classical elliptic theory developed in the well-known work of Atiyah and Singer on the index problem relates a978-3-7643-8775-4Series ISSN 0255-0156 Series E-ISSN 2296-4878