scholarly journals Ruan's conjecture and integral structures in quantum cohomology

Author(s):  
Hiroshi Iritani
2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hans Jockers ◽  
Peter Mayr ◽  
Urmi Ninad ◽  
Alexander Tabler

Abstract We study the algebra of Wilson line operators in three-dimensional $$ \mathcal{N} $$ N = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for Gr(M, N ). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M, N ), isomorphic to the Verlinde algebra for U(M ), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.


2000 ◽  
Vol 15 (02) ◽  
pp. 101-120 ◽  
Author(s):  
MASAO JINZENJI
Keyword(s):  

In this letter, we propose the formulas that compute all the rational structural constants of the quantum Kähler subring of Fano hypersurfaces.


2016 ◽  
Vol 6 (4) ◽  
pp. 25 ◽  
Author(s):  
Nauman Al Amin Ali

Manifest intertextuality is a fundamental aspect of all academic discourse, and, hence, this study purports to explorethe myriad functions of citation in a representative and contrastive corpus drawn from 20 Literature Review chaptersin the domain of Applied Linguistics, and equally divided among Ph.D. theses successfully defended in Sudan andBritain. A variety of typologies were utilized to elicit citations, including Thompson’s (2005) classification ofintegral and non-integral citations, together with Hyland’s (2002) designation of denotative and evaluative functionsassociated with reporting verbs. Groom’s (2000) and Petric’s (2007) notions of averral and attribution, propositionalresponsibility and knowledge transformation also inform this investigation. Results indicate that the densedeployment of citations and the predilection both corpora have for integral structures, verbatim quotations andpresent active Discourse reporting verbs are largely dictated by the discursive and human-imbued nature of AppliedLinguistics. On the other hand, the findings reveal that Sudanese candidates formally and functionally employcitations in manners markedly different from their British peers. Thus, the Sudanese corpus is characterized byblatant errors, repetition and awkwardness in both documenting sources and reporting the findings of research.Moreover, naïve unwarranted quotations and authorial evaluations were ubiquitously observed, as compared to theBritish corpus. More significantly, there were ample variations in the way in which the two groups conceive of therole of the Literature Review. While the British adopted a range of Writer-oriented and metadiscoursal strategies toamalgamate and integrate the cited materials within their mainstream arguments, the Sudanese candidates werestrictly concerned with unmediated and uncontested attribution of ideas to their authors. Such is the synthetic natureof the resultant type of this Literature Review that the writer’s textual voice is submerged under the sheer burden ofsuccessive descriptive citations, thus eclipsing almost all of the objectives of this chapter in critiquing sources andsubordinating the cited literature to the overarching transformative perspective of the thesis writer. The Discussion isilluminated through extensive quotations from the two corpora.


1998 ◽  
Vol 50 (3) ◽  
pp. 537-590 ◽  
Author(s):  
Xiaobo Liu ◽  
Gang Tian

1995 ◽  
Vol 59 (5) ◽  
pp. 881-897 ◽  
Author(s):  
V E Voskresenskii ◽  
T V Fomina

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