УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ<br />
(Z)<strong>×</strong>ÓØÒ<strong>×</strong>ÒÒÒØÔÖÓÙØÖÔÖ<strong>×</strong>ÒØØÓÒ ÒÓØÖÕÙÚÐÒØÖÔÖ<strong>×</strong>ÒØØÓÒÓΦ 10<br />
´¾º½µ ÖÓÑØÓÙÖÖÓÒØ<strong>×</strong>ÓØÐÐÔØÒÙ<strong>×</strong>ÓK3<br />
χ K3<br />
(Z)<strong>×</strong>ÚÒ<strong>×</strong>ÒÒÒØÔÖÓÙØÝ<br />
RÖØ<strong>×</strong>Ô¹ØÑÖÑÓÒÒÙÑÖ<strong>×</strong>ÛÒÒØ<br />
(τ, z) =ÌÖ(−1) F L+F R<br />
SU(2)ÙÖÖÒØÐÖ<strong>×</strong>º<br />
e 2πi(τ(L 0− c<br />
24 )+zFL) ,<br />
ÛØc = 6ÓÖK3ÒF LÒF ´¾º½µ<br />
ÛØØÞÖÓ¹ÑÓ<strong>×</strong>ÓØÐعÑÓÚÒÒÖعÑÓÚÒU(1) ⊂<br />
ÌÙØÓÑÓÖÔÓÖÑΦ c(n)ÖÒÝØÜÔÒ<strong>×</strong>ÓÒÓØK3ÐÐÔØÒÙ<strong>×</strong><strong>×</strong><br />
10<br />
) c(4kl−m<br />
0¸ÒØÓÒØ<strong>×</strong><br />
2<br />
1 − e 2πi(kρ+lσ+mν) )<br />
,<br />
´¾º½µ<br />
ÛÖ(k, l, m) > 0ÑÒ<strong>×</strong>ØØk, ≥ 0Òm Z¸m < 0ÓÖk= =<br />
z)<strong>×</strong>ØÙÒÕÙÛÂÓÓÖÑÓÒÜ1ÒÛØ<br />
ÓÒ<strong>×</strong><strong>×</strong>ØÒݺÏÛÐÐØØÓÙÖÖØÖÒ<strong>×</strong>ÓÖÑÓ´¾º½µÒÛÖØØ<strong>×</strong> ÏÛÐÐÓÒÐÙÓÙÖ<strong>×</strong>ØÙÝÓØÎÎÔÖÓÔÓ<strong>×</strong>ÐÛØÛÖÑÖ<strong>×</strong>ÓÒÒØ<strong>×</strong> ÛÖ¸ÙÔØÓÒÓÖÑÐÞØÓÒ¸χ K3 (τ,<br />
´¾º½µ<br />
0ºÆÓØØØc(n) = 0ÓÖn m)ÖÐÐÒØÖ<strong>×</strong>ÒÖÖÐØØÓØÒÖ¹<br />
ÆÓÛ¸<strong>×</strong>Ö<strong>×</strong>ØÓÒ<strong>×</strong><strong>×</strong>ØÒݸÛÛÒØØÓ<strong>×</strong>ÓÒÒÓØÒ´¾º½¾µ<strong>×</strong>ÐÑØÓ´¾º½µº <strong>×</strong>´¾º½µÝ ´¾º¾¼µ ÛØk, l, m ∈ ZºÌÓÒØ<strong>×</strong>D(k,<br />
νÔÖÓØ<strong>×</strong>ÓÙØÝÓÒ<strong>×</strong>ÛØÐØÝÕÙÐØÓÞÖÓºÀÓÛÚÖ¸Ò<strong>×</strong>ØÓÒØÖØÒØÓÙظÓÒ ÌÔÖÑØÖνÓÙÔÐ<strong>×</strong>ØÓØÐØÝmÓØÝÓÒ<strong>×</strong>ØØ<strong>×</strong>¸ÒØÙ<strong>×</strong>ØÒØÖÐÓÚÖ<br />
d(q<br />
0ÐÑØØÒ¸ÛÛÐÐÓØÒØ<br />
4¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÒÛÐÐÐÚ<br />
0ÐÑØÒ´¾º½µ ÒÐ<strong>×</strong>ÓÔÙØØÕÙÐØÓÜÚÐÙ¸Ðν= 0ºÁÒØν= ÓÖÑÙÐÛØÐØÝØÖ(−1) m¸ÛÛÐÐÔÖÓØÓÙØØ1 ÓÒÐÝØ1 2¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÛÓ<strong>×</strong>ÒÖÝ<strong>×</strong>ÚÒÝ´¾º½¾µºÌÒØν →<br />
¾<br />
Φ 10 (ρ, σ, ν) = e 2πi(ρ+σ+ν)<br />
l<br />
χ K3 (τ, z) =<br />
< −1º<br />
64<br />
∏<br />
(k,l,m)>0<br />
∈<br />
∑<br />
h≥0,m∈Z<br />
Φ 10 (Z) = ∑ k,l,m<br />
l,<br />
(<br />
l<br />
c(4h − m 2 ) e 2πi(hτ+mz) ,<br />
D(k, l, m)e −2πi(kρ+lσ+mν) ,<br />
e ,q m ) = D( 1 2 q2 e, 1 2 q2 m,q e · q m ) .
Change language