start-ver=1.4
cd-journal=joma
no-vol=47
cd-vols=
no-issue=2
article-no=
start-page=162
end-page=177
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2024
dt-pub=202406
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Generalized hypergeometric functions for degree k hypersurface in CPN-1 and intersection numbers of moduli space of quasimaps from CP1 with two marked points to CPN-1
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=In this paper, we derive the generalized hypergeometric functions used in mirror computation of degree k hypersurface in CPN-1 as generating functions of intersection numbers of the moduli space of quasimaps from CP1 with two marked points to CPN-1.
en-copyright=
kn-copyright=

en-aut-name=JinzenjiMasao
en-aut-sei=Jinzenji
en-aut-mei=Masao
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=MatsuzakaKohki
en-aut-sei=Matsuzaka
en-aut-mei=Kohki
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

affil-num=1
en-affil=Department of Mathematics, Okayama University
kn-affil=

affil-num=2
en-affil=Faculty of Integrated Media, Ikueikan University
kn-affil=
en-keyword=Givental's I-function
kn-keyword=Givental's I-function
en-keyword=Generalized hypergeometric series
kn-keyword=Generalized hypergeometric series
en-keyword=Moduli space of quasimaps
kn-keyword=Moduli space of quasimaps
en-keyword=Intersection number
kn-keyword=Intersection number
END

start-ver=1.4
cd-journal=joma
no-vol=34
cd-vols=
no-issue=02
article-no=
start-page=2350006
end-page=
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2023
dt-pub=20230203
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Geometrical proof of generalized mirror transformation of projective hypersurfaces
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=In this paper, we propose a geometrical proof of the generalized mirror transformation of genus 0 Gromov?Witten invariants of degree k hypersurface in CP<sup>N-1</sup>
en-copyright=
kn-copyright=

en-aut-name=JinzenjiMasao
en-aut-sei=Jinzenji
en-aut-mei=Masao
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=Department of Mathematics, Okayama University
kn-affil=
en-keyword=Mirror symmetry
kn-keyword=Mirror symmetry
en-keyword=moduli space of quasimaps
kn-keyword=moduli space of quasimaps
en-keyword=excess intersection
kn-keyword=excess intersection
en-keyword=generalized mirror transformation
kn-keyword=generalized mirror transformation
END

start-ver=1.4
cd-journal=joma
no-vol=180
cd-vols=
no-issue=
article-no=
start-page=104623
end-page=
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2022
dt-pub=202210
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Evaluation of Euler number of complex Grassmann manifold G(k,N) via Mathai-Quillen formalism
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=In this paper, we provide a recipe for computing Euler number of Grassmann manifold G(k, N) by using Mathai-Quillen formalism (MQ formalism) [9] and Atiyah-Jeffrey construc-tion [1]. Especially, we construct path-integral representation of Euler number of G(k, N). Our model corresponds to a finite dimensional toy-model of topological Yang-Mills theory which motivated Atiyah-Jeffrey construction. As a by-product, we construct free fermion realization of cohomology ring of G(k, N). 
en-copyright=
kn-copyright=

en-aut-name=ImanishiShoichiro
en-aut-sei=Imanishi
en-aut-mei=Shoichiro
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=JinzenjiMasao
en-aut-sei=Jinzenji
en-aut-mei=Masao
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=KuwataKen
en-aut-sei=Kuwata
en-aut-mei=Ken
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

affil-num=1
en-affil=Division of Mathematics, Graduate School of Science, Hokkaido University
kn-affil=

affil-num=2
en-affil=Department of Mathematics, Okayama University
kn-affil=

affil-num=3
en-affil=Department of General Education, National Institute of Technology, Kagawa College
kn-affil=
en-keyword=Supersymmetry
kn-keyword=Supersymmetry
en-keyword=Topological Yang-Mills theory
kn-keyword=Topological Yang-Mills theory
en-keyword=Schubert calculus
kn-keyword=Schubert calculus
en-keyword=Grassmann manifold
kn-keyword=Grassmann manifold
en-keyword=Grassmann variable
kn-keyword=Grassmann variable
END