Article:Math.AG/0001043/unidentified-references: Difference between revisions
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J.~Bernstein and V.~Lunts, \emph{Equivariant sheaves and functors}, Lecture Notes in Mathematics, vol. 1578, Springer, 1994. |
|||
A.~Bondal and M.~Kapranov, \emph{Representable functors, {S}erre functors, and mutations}, Math. USSR Izv. \textbf{35} (1990), 519--541. |
|||
A.~Bondal and M.~Kapranov, \emph{Enhanced triangulated categories}, Math. USSR Sbornik \textbf{70} (1991), 93--107. |
|||
\bysame, \emph{Semiorthogonal decomposition for algebraic varieties}, Preprint alg-geom/\linebreak[0]9506012. |
|||
A.~Bondal and A.~Polishchuk, \emph{Homological properties of associative algebras: the method of helices}, Izv. Ross. Akad. Nauk Ser. Mat.\textbf{57} (1993), 3--50; translation in Russian Acad. Sci. Izv. Math. \textbf{42} (1994), 219--260. |
|||
T.~Bridgeland, A.~King, and M.~Reid, \emph{Mukai implies {M}c\-{K}ay}, Preprint math.AG/ 9908027. |
|||
C.~H. Clemens, \emph{Double solids}, Adv. in Math. \textbf{47} (1983), 107--230. |
|||
P.~Deligne, \emph{Action du groupe de tresses sur une categorie}, Invent. Math. \textbf{128} (1997), 159--175. |
|||
A.~Fathi, F.~Laudenbach, and V.~Po{\'e}naru, \emph{Travaux de {T}hurston sur les surfaces}, Ast{\'e}risque, vol. 66--67, Soc. Math. France, 1979. |
|||
S.~Gelfand and Yu. Manin, \emph{Methods of homological algebra}, Springer, 1996. |
|||
M.~Gerstenhaber and S.~Schack, \emph{Algebraic cohomology and deformation theory}, Deformation theory of algebras and structures and applications, NATO Adv. Study Inst. C, vol. 247, 1988, pp.~11--264. |
|||
M.~Gross, \emph{Blabber about black holes}, Unpublished notes. |
|||
V.~K. A.~M. Gugenheim, L.~A. Lambe, and J.~D. Stasheff, \emph{Algebraic aspects of {C}hen's twisting cochain}, Illinois J. Math. \textbf{34} (1990), 485--502. |
|||
S.~Halperin and J.~Stasheff, \emph{Obstructions to homotopy equivalences}, Advances in Math. \textbf{32} (1979), 233--279. |
|||
R.~Hartshorne, \emph{Residues and duality}, Lecture Notes in Math., vol.~20, Springer, 1966. |
|||
\bysame, \emph{Algebraic geometry}, Springer, 1977. |
|||
T.~V. Kadeishvili, \emph{The structure of the {$A_\infty$}-algebra, and the {H}ochschild and {H}arrison cohomologies}, Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR \textbf{91} (1988), 19--27 (Russian). |
|||
B.~Keller, \emph{A remark on tilting theory and {$DG$} algebras}, Manuscripta Math. \textbf{79} (1993), 247--252. |
|||
B.~Keller, \emph{On the cyclic homology of exact categories}, J. Pure Appl. Algebra \textbf{136} (1999), 1--56. |
|||
M.~Kontsevich, \emph{Homological algebra of mirror symmetry}, Proceedings of the International Congress of Mathematicians (Z{\"u}rich, 1994), Birkh{\"a}user, 1995, pp.~120--139. |
|||
S.~Kuleshov, \emph{Exceptional bundles on $K3$ surfaces}, In \cite{rudakov90}. |
|||
A.~Maciocia, \emph{Generalized {F}ourier-{M}ukai transforms}, J. Reine Angew. Math. \textbf{480} (1996), 197--211. |
|||
J.~McKay, \emph{Graphs, singularities, and finite groups}, Finite groups (Santa Cruz, 1979), Proc. Symp. Pure Math., vol.~37, Amer. Math. Soc., 1980, pp.~183--186. |
|||
J.~Moore, \emph{Alg{\`e}bre homologique et homologie des espaces classifiants}, S{\'e}minaire Cartan, 1959-1960, Expos{\'e} 7. |
|||
\bysame, \emph{Differential homological algebra}, Proceedings of the International Congress of Mathematicians, Nice, vol.~1, 1970, pp.~335--339. |
|||
D.~Morrison, \emph{Through the looking glass}, Mirror Symmetry III (Montreal 1995), AMS/IP Stud. Adv. Math., vol.~10, 1999, pp.~263--277. |
|||
S.~Mukai, \emph{Duality between {$D(X)$} and {$D(\hat{X})$} with its application to {P}icard sheaves}, Nagoya J. Math. \textbf{81} (1981), 153--175. |
|||
\bysame, \emph{On the moduli space of bundles on {$K3$} surfaces {I}}, Vector bundles on Algebraic Varieties (M.~F. Atiyah et~al., eds.), Oxford Univ. Press, 1987, pp.~341--413. |
|||
I.~Nakamura, \emph{Hilbert schemes of {A}belian group orbits}, to appear in J. Algebraic Geom. |
|||
\bysame, \emph{Equivalences of derived categories and {$K3$} surfaces}, J. Math. Sci. \textbf{84} (1997), 1361--1381. |
|||
H.~Pinkham, \emph{Singularit{\'e}s exceptionnelles, la dualit{\'e} {\'e}trange d'{A}rnold, et les surfaces {$K3$}}, C.R. Acad. Sci. Paris \textbf{284A} (1977), 615--618. |
|||
A.~Polishchuk, \emph{Symplectic biextensions and a generalization of the Fourier-Mukai transform}, Math. Res. Letters \textbf{3} (1996), 813--828. |
|||
\bysame, \emph{Massey and {F}ukaya products on elliptic curves}, Preprint AG/9803017 (revised version, July 1999). |
|||
A.~Polishchuk and E.~Zaslow, \emph{Categorical mirror symmetry: the elliptic curve}, Adv. Theor. Math. Physics \textbf{2} (1998), 443--470. |
|||
J.~Rickard, \emph{Morita theory for derived categories}, J. London Math. Soc. \textbf{39} (1989), 436--456. |
|||
A.~Rudakov et~al., \emph{Helices and vector bundles: {S}eminaire {R}udakov}, LMS Lecture Note Series, vol. 148, Cambridge University Press, 1990. |
|||
P.~Seidel, \emph{An exact sequence for symplectic {F}loer homology}, in preparation. |
|||
\bysame, \emph{Graded {L}agrangian submanifolds}, To appear in {\em Bull.\ Soc.\ Math.\ France}. |
|||
\bysame, \emph{Lagrangian two-spheres can be symplectically knotted}, J. Differential Geom. \textbf{52} (1999), 145--171. |
|||
A.~Strominger, S.~T. Yau, and E.~Zaslow, \emph{Mirror symmetry is {$T$}-duality}, Nucl. Phys. B \textbf{479} (1996), 243--259. |
|||
D.~Tanr{\'e}, \emph{Cohomologie de {H}arrison et type d'homotopie rationelle}, Algebra, algebraic topology and their interaction (J.~Roos, ed.), Lecture Notes in Mathematics, vol. 1183, Springer, 1986, pp.~361--370. |
|||
R.~P. Thomas, \emph{Mirror symmetry and actions of braid groups on derived categories}, Proceedings of the {H}arvard {W}inter {S}chool on {M}irror {S}ymmetry, International Press, 1999. |
|||
</pre> |
</pre> |
Latest revision as of 04:12, 17 September 2006
J.~Bernstein and V.~Lunts, \emph{Equivariant sheaves and functors}, Lecture Notes in Mathematics, vol. 1578, Springer, 1994. A.~Bondal and M.~Kapranov, \emph{Representable functors, {S}erre functors, and mutations}, Math. USSR Izv. \textbf{35} (1990), 519--541. A.~Bondal and M.~Kapranov, \emph{Enhanced triangulated categories}, Math. USSR Sbornik \textbf{70} (1991), 93--107. \bysame, \emph{Semiorthogonal decomposition for algebraic varieties}, Preprint alg-geom/\linebreak[0]9506012. A.~Bondal and A.~Polishchuk, \emph{Homological properties of associative algebras: the method of helices}, Izv. Ross. Akad. Nauk Ser. Mat.\textbf{57} (1993), 3--50; translation in Russian Acad. Sci. Izv. Math. \textbf{42} (1994), 219--260. T.~Bridgeland, A.~King, and M.~Reid, \emph{Mukai implies {M}c\-{K}ay}, Preprint math.AG/ 9908027. C.~H. Clemens, \emph{Double solids}, Adv. in Math. \textbf{47} (1983), 107--230. P.~Deligne, \emph{Action du groupe de tresses sur une categorie}, Invent. Math. \textbf{128} (1997), 159--175. A.~Fathi, F.~Laudenbach, and V.~Po{\'e}naru, \emph{Travaux de {T}hurston sur les surfaces}, Ast{\'e}risque, vol. 66--67, Soc. Math. France, 1979. S.~Gelfand and Yu. Manin, \emph{Methods of homological algebra}, Springer, 1996. M.~Gerstenhaber and S.~Schack, \emph{Algebraic cohomology and deformation theory}, Deformation theory of algebras and structures and applications, NATO Adv. Study Inst. C, vol. 247, 1988, pp.~11--264. M.~Gross, \emph{Blabber about black holes}, Unpublished notes. V.~K. A.~M. Gugenheim, L.~A. Lambe, and J.~D. Stasheff, \emph{Algebraic aspects of {C}hen's twisting cochain}, Illinois J. Math. \textbf{34} (1990), 485--502. S.~Halperin and J.~Stasheff, \emph{Obstructions to homotopy equivalences}, Advances in Math. \textbf{32} (1979), 233--279. R.~Hartshorne, \emph{Residues and duality}, Lecture Notes in Math., vol.~20, Springer, 1966. \bysame, \emph{Algebraic geometry}, Springer, 1977. T.~V. Kadeishvili, \emph{The structure of the {$A_\infty$}-algebra, and the {H}ochschild and {H}arrison cohomologies}, Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR \textbf{91} (1988), 19--27 (Russian). B.~Keller, \emph{A remark on tilting theory and {$DG$} algebras}, Manuscripta Math. \textbf{79} (1993), 247--252. B.~Keller, \emph{On the cyclic homology of exact categories}, J. Pure Appl. Algebra \textbf{136} (1999), 1--56. M.~Kontsevich, \emph{Homological algebra of mirror symmetry}, Proceedings of the International Congress of Mathematicians (Z{\"u}rich, 1994), Birkh{\"a}user, 1995, pp.~120--139. S.~Kuleshov, \emph{Exceptional bundles on $K3$ surfaces}, In \cite{rudakov90}. A.~Maciocia, \emph{Generalized {F}ourier-{M}ukai transforms}, J. Reine Angew. Math. \textbf{480} (1996), 197--211. J.~McKay, \emph{Graphs, singularities, and finite groups}, Finite groups (Santa Cruz, 1979), Proc. Symp. Pure Math., vol.~37, Amer. Math. Soc., 1980, pp.~183--186. J.~Moore, \emph{Alg{\`e}bre homologique et homologie des espaces classifiants}, S{\'e}minaire Cartan, 1959-1960, Expos{\'e} 7. \bysame, \emph{Differential homological algebra}, Proceedings of the International Congress of Mathematicians, Nice, vol.~1, 1970, pp.~335--339. D.~Morrison, \emph{Through the looking glass}, Mirror Symmetry III (Montreal 1995), AMS/IP Stud. Adv. Math., vol.~10, 1999, pp.~263--277. S.~Mukai, \emph{Duality between {$D(X)$} and {$D(\hat{X})$} with its application to {P}icard sheaves}, Nagoya J. Math. \textbf{81} (1981), 153--175. \bysame, \emph{On the moduli space of bundles on {$K3$} surfaces {I}}, Vector bundles on Algebraic Varieties (M.~F. Atiyah et~al., eds.), Oxford Univ. Press, 1987, pp.~341--413. I.~Nakamura, \emph{Hilbert schemes of {A}belian group orbits}, to appear in J. Algebraic Geom. \bysame, \emph{Equivalences of derived categories and {$K3$} surfaces}, J. Math. Sci. \textbf{84} (1997), 1361--1381. H.~Pinkham, \emph{Singularit{\'e}s exceptionnelles, la dualit{\'e} {\'e}trange d'{A}rnold, et les surfaces {$K3$}}, C.R. Acad. Sci. Paris \textbf{284A} (1977), 615--618. A.~Polishchuk, \emph{Symplectic biextensions and a generalization of the Fourier-Mukai transform}, Math. Res. Letters \textbf{3} (1996), 813--828. \bysame, \emph{Massey and {F}ukaya products on elliptic curves}, Preprint AG/9803017 (revised version, July 1999). A.~Polishchuk and E.~Zaslow, \emph{Categorical mirror symmetry: the elliptic curve}, Adv. Theor. Math. Physics \textbf{2} (1998), 443--470. J.~Rickard, \emph{Morita theory for derived categories}, J. London Math. Soc. \textbf{39} (1989), 436--456. A.~Rudakov et~al., \emph{Helices and vector bundles: {S}eminaire {R}udakov}, LMS Lecture Note Series, vol. 148, Cambridge University Press, 1990. P.~Seidel, \emph{An exact sequence for symplectic {F}loer homology}, in preparation. \bysame, \emph{Graded {L}agrangian submanifolds}, To appear in {\em Bull.\ Soc.\ Math.\ France}. \bysame, \emph{Lagrangian two-spheres can be symplectically knotted}, J. Differential Geom. \textbf{52} (1999), 145--171. A.~Strominger, S.~T. Yau, and E.~Zaslow, \emph{Mirror symmetry is {$T$}-duality}, Nucl. Phys. B \textbf{479} (1996), 243--259. D.~Tanr{\'e}, \emph{Cohomologie de {H}arrison et type d'homotopie rationelle}, Algebra, algebraic topology and their interaction (J.~Roos, ed.), Lecture Notes in Mathematics, vol. 1183, Springer, 1986, pp.~361--370. R.~P. Thomas, \emph{Mirror symmetry and actions of braid groups on derived categories}, Proceedings of the {H}arvard {W}inter {S}chool on {M}irror {S}ymmetry, International Press, 1999.