-
1
-
-
0009994424
-
Milnor numbers of nonisolated Saito singularities
-
[1] A. Aleksandrov, Milnor numbers of nonisolated Saito singularities, Functional Anal. Appl. 21 (1987) 1-9.
-
(1987)
Functional Anal. Appl.
, vol.21
, pp. 1-9
-
-
Aleksandrov, A.1
-
2
-
-
84972555801
-
Gauss-Manin connection of integral of difference products
-
[2] K. Aomoto, Gauss-Manin connection of integral of difference products, J. Math. Soc. Japan 39 (1987) 191-208.
-
(1987)
J. Math. Soc. Japan
, vol.39
, pp. 191-208
-
-
Aomoto, K.1
-
3
-
-
0001560677
-
The cohomology ring of the colored braid group
-
[3] V.I. Arnol'd, The cohomology ring of the colored braid group, Math. Notes 5 (1969) 138-140.
-
(1969)
Math. Notes
, vol.5
, pp. 138-140
-
-
Arnol'd, V.I.1
-
4
-
-
0000942205
-
Theory of braids
-
[4] E. Artin, Theory of braids, Ann. Math. 48 (1947) 101-126.
-
(1947)
Ann. Math.
, vol.48
, pp. 101-126
-
-
Artin, E.1
-
5
-
-
0003248449
-
Braids, links and mapping class groups
-
Princeton Univ. Press, Princeton, NJ
-
[5] J. Birman, Braids, Links and Mapping Class Groups, Ann. of Math. Stud., Vol. 82 (Princeton Univ. Press, Princeton, NJ, 1975).
-
(1975)
Ann. of Math. Stud.
, vol.82
-
-
Birman, J.1
-
6
-
-
0002950493
-
Finite-dimensional representations of Artin's braid group
-
Amer. Math. Soc., Providence, RI
-
[6] J. Birman, D.D. Long and J. Moody, Finite-dimensional representations of Artin's braid group, in: The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions, Contemporary Math., Vol. 169 (Amer. Math. Soc., Providence, RI, 1994) 123-132.
-
(1994)
The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions, Contemporary Math.
, vol.169
, pp. 123-132
-
-
Birman, J.1
Long, D.D.2
Moody, J.3
-
7
-
-
84972529994
-
Free resolutions for semi-direct products
-
[7] T. Brady, Free resolutions for semi-direct products, Tôhoku Math. J. 45 (1993) 535-537.
-
(1993)
Tôhoku Math. J.
, vol.45
, pp. 535-537
-
-
Brady, T.1
-
8
-
-
0002875137
-
Sur les groupes de tresses
-
Springer, Berlin
-
[8] E. Brieskorn, Sur les groupes de tresses, in: Séminaire Bourbaki, 1971/72, Lecture Notes in Mathematics 317 (Springer, Berlin, 1973) 21-44.
-
(1973)
Séminaire Bourbaki, 1971/72, Lecture Notes in Mathematics
, vol.317
, pp. 21-44
-
-
Brieskorn, E.1
-
9
-
-
0003340443
-
Cohomology of groups
-
Springer, Berlin
-
[9] K. Brown, Cohomology of Groups, Graduate Texts in Mathematics, Vol. 87 (Springer, Berlin, 1982).
-
(1982)
Graduate Texts in Mathematics
, vol.87
-
-
Brown, K.1
-
10
-
-
38249004394
-
Cohomology and intersection cohomology of complex hyperplane arrangements
-
[10] D. Cohen, Cohomology and intersection cohomology of complex hyperplane arrangements, Adv. Math. 97 (1993) 231-266.
-
(1993)
Adv. Math.
, vol.97
, pp. 231-266
-
-
Cohen, D.1
-
11
-
-
0000490634
-
On milnor fibrations of arrangements
-
[11] D. Cohen and A. Suciu, On Milnor fibrations of arrangements, J. London Math. Soc. 51 (1995) 105-119.
-
(1995)
J. London Math. Soc.
, vol.51
, pp. 105-119
-
-
Cohen, D.1
Suciu, A.2
-
14
-
-
0003333522
-
n+1-spaces, n ≥ 0
-
The Homology of Iterated Loop Spaces, Springer, Berlin
-
n+1 -spaces, n ≥ 0, in: The Homology of Iterated Loop Spaces, Lecture Notes in Mathematics, Vol. 533 (Springer, Berlin, 1976) 207-352.
-
(1976)
The Homology of Iterated Loop Spaces, Lecture Notes in Mathematics
, vol.533
, pp. 207-352
-
-
Cohen, F.1
-
15
-
-
0002523982
-
On the milnor fibration of weighted homogeneous polynomials
-
[15] A. Dimca, On the Milnor fibration of weighted homogeneous polynomials, Compositio Math. 76 (1990) 19-47.
-
(1990)
Compositio Math.
, vol.76
, pp. 19-47
-
-
Dimca, A.1
-
16
-
-
33646859166
-
Cohomology of local systems on the complement of hyperplanes
-
[16] H. Esnault, V. Schechtman and E. Viehweg, Cohomology of local systems on the complement of hyperplanes, Invent. Math. 109 (1992) 557-561; Erratum, ibid. 112 (1993) 447.
-
(1992)
Invent. Math.
, vol.109
, pp. 557-561
-
-
Esnault, H.1
Schechtman, V.2
Viehweg, E.3
-
17
-
-
0039290852
-
-
[16] H. Esnault, V. Schechtman and E. Viehweg, Cohomology of local systems on the complement of hyperplanes, Invent. Math. 109 (1992) 557-561; Erratum, ibid. 112 (1993) 447.
-
(1993)
Invent. Math.
, vol.112
, pp. 447
-
-
-
18
-
-
0001232941
-
Configuration spaces
-
[17] E. Fadell and L. Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111-118.
-
(1962)
Math. Scand.
, vol.10
, pp. 111-118
-
-
Fadell, E.1
Neuwirth, L.2
-
19
-
-
0002747135
-
The lower central series of a fiber-type arrangement
-
[18] M. Falk and R. Randell, The lower central series of a fiber-type arrangement, Invent. Math. 82 (1985) 77-88.
-
(1985)
Invent. Math.
, vol.82
, pp. 77-88
-
-
Falk, M.1
Randell, R.2
-
20
-
-
0001419841
-
Pure braid groups and products of free groups
-
Amer. Math. Soc., Providence, RI
-
[19] M. Falk and R. Randell, Pure braid groups and products of free groups, in: Braids, Contemporary Math., Vol. 78 (Amer. Math. Soc., Providence, RI, 1988) 217-228.
-
(1988)
Braids, Contemporary Math.
, vol.78
, pp. 217-228
-
-
Falk, M.1
Randell, R.2
-
21
-
-
0042408584
-
βnbc-bases for cohomology of local systems on hyperplane complements
-
to appear
-
[20] M. Falk and H. Terao, βnbc-bases for cohomology of local systems on hyperplane complements, Trans. Amer. Math. Soc., to appear.
-
Trans. Amer. Math. Soc.
-
-
Falk, M.1
Terao, H.2
-
22
-
-
0001085970
-
Free differential calculus I
-
[21] R. Fox, Free differential calculus I, Ann. Math. 57 (1953) 547-560; II, Ann. Math. 59 (1954) 196-210; III, Ann. Math. 64 (1956) 407-419.
-
(1953)
Ann. Math.
, vol.57
, pp. 547-560
-
-
Fox, R.1
-
23
-
-
0001619762
-
-
II
-
[21] R. Fox, Free differential calculus I, Ann. Math. 57 (1953) 547-560; II, Ann. Math. 59 (1954) 196-210; III, Ann. Math. 64 (1956) 407-419.
-
(1954)
Ann. Math.
, vol.59
, pp. 196-210
-
-
-
24
-
-
0000756508
-
-
III
-
[21] R. Fox, Free differential calculus I, Ann. Math. 57 (1953) 547-560; II, Ann. Math. 59 (1954) 196-210; III, Ann. Math. 64 (1956) 407-419.
-
(1956)
Ann. Math.
, vol.64
, pp. 407-419
-
-
-
25
-
-
0000519908
-
Algebraic equations with continuous coefficients and some problems of the algebraic theory of braids
-
[22] E. Gorin and V. Lin, Algebraic equations with continuous coefficients and some problems of the algebraic theory of braids, Math. USSR Sbornik 7 (1969) 569-596.
-
(1969)
Math. USSR Sbornik
, vol.7
, pp. 569-596
-
-
Gorin, E.1
Lin, V.2
-
26
-
-
0004041096
-
Braids and coverings
-
Cambridge Univ. Press, Cambridge
-
[23] V.L. Hansen, Braids and Coverings, London Math. Soc. Student Texts, Vol. 18 (Cambridge Univ. Press, Cambridge, 1989).
-
(1989)
London Math. Soc. Student Texts
, vol.18
-
-
Hansen, V.L.1
-
27
-
-
0000536672
-
7 minus a finite number of affine hyperplanes in general position
-
7 minus a finite number of affine hyperplanes in general position, J. Fac. Sci. Univ. Tokyo 22 (1975) 205-219.
-
(1975)
J. Fac. Sci. Univ. Tokyo
, vol.22
, pp. 205-219
-
-
Hattori, A.1
-
28
-
-
38249020688
-
Fiber-type arrangements and factorization properties
-
[25] M. Jambu, Fiber-type arrangements and factorization properties, Adv. Math. 80 (1990) 1-21.
-
(1990)
Adv. Math.
, vol.80
, pp. 1-21
-
-
Jambu, M.1
-
29
-
-
0001665177
-
Hecke algebra representations of braid groups and link polynomials
-
[26] V. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. Math. 126 (1987) 335-388.
-
(1987)
Ann. Math.
, vol.126
, pp. 335-388
-
-
Jones, V.1
-
30
-
-
0001903371
-
Série de poincaré-koszul associée aux groupes de tresses pures
-
[27] T. Kohno, Série de Poincaré-Koszul associée aux groupes de tresses pures, Invent. Math. 82 (1985) 57-75.
-
(1985)
Invent. Math.
, vol.82
, pp. 57-75
-
-
Kohno, T.1
-
31
-
-
0000456234
-
Homology of a local system on the complement of hyperplanes
-
[28] T. Kohno, Homology of a local system on the complement of hyperplanes, Proc. Japan Acad. Ser. A 62 (1986) 144-147.
-
(1986)
Proc. Japan Acad. Ser. A
, vol.62
, pp. 144-147
-
-
Kohno, T.1
-
32
-
-
0010028276
-
One-parameter family of linear representations of Artin's braid groups
-
North-Holland, Amsterdam
-
[29] T. Kohno, One-parameter family of linear representations of Artin's braid groups, in: Galois Representations and Arithmetic Algebraic Geometry, Advanced Studies in Pure Math., Vol. 12 (North-Holland, Amsterdam, 1987) 189-200.
-
(1987)
Galois Representations and Arithmetic Algebraic Geometry, Advanced Studies in Pure Math.
, vol.12
, pp. 189-200
-
-
Kohno, T.1
-
33
-
-
0009988842
-
The lower central series of the pure braid group of an algebraic curve
-
North-Holland, Amsterdam
-
pure braid group of an algebraic curve, in: Galois Representations and Arithmetic Algebraic Geometry, Advanced Studies in Pure Math., Vol. 12 (North-Holland, Amsterdam, 1987) 201-219.
-
(1987)
Galois Representations and Arithmetic Algebraic Geometry, Advanced Studies in Pure Math.
, vol.12
, pp. 201-219
-
-
Kohno, T.1
Oda, T.2
-
34
-
-
0001864102
-
Homological representations of the Hecke algebra
-
[31] R. Lawrence, Homological representations of the Hecke algebra, Commun. Math. Phys. 135 (1990) 141-191.
-
(1990)
Commun. Math. Phys.
, vol.135
, pp. 141-191
-
-
Lawrence, R.1
-
35
-
-
0010031298
-
The monodromy of the Brieskorn bundle
-
Amer. Math. Soc., Providence, RI
-
[32] A. Leibman and D. Markushevich, The monodromy of the Brieskorn bundle, in: Geometric Topology, Contemporary Math., Vol. 164 (Amer. Math. Soc., Providence, RI, 1994) 91-117.
-
(1994)
Geometric Topology, Contemporary Math.
, vol.164
, pp. 91-117
-
-
Leibman, A.1
Markushevich, D.2
-
36
-
-
0002782726
-
Invariants of plane algebraic curves via representations of the braid groups
-
[33] A. Libgober, Invariants of plane algebraic curves via representations of the braid groups, Invent. Math. 95 (1989) 25-30.
-
(1989)
Invent. Math.
, vol.95
, pp. 25-30
-
-
Libgober, A.1
-
37
-
-
38249002252
-
The Burau representation is not faithful for n ≥ 6
-
[34] D.D. Long and M. Paton, The Burau representation is not faithful for n ≥ 6, Topology 32 (1993) 439-447.
-
(1993)
Topology
, vol.32
, pp. 439-447
-
-
Long, D.D.1
Paton, M.2
-
38
-
-
0010064383
-
Matrix solutions of Artin's braid relations
-
[35] M. Lüdde and F. Toppan, Matrix solutions of Artin's braid relations, Phys. Lett. 288 (1992) 321-330.
-
(1992)
Phys. Lett.
, vol.288
, pp. 321-330
-
-
Lüdde, M.1
Toppan, F.2
-
39
-
-
0000452897
-
On a theorem of Marshall Hall
-
[36] W. Magnus, On a theorem of Marshall Hall, Ann. Math. 40 (1939) 764-768.
-
(1939)
Ann. Math.
, vol.40
, pp. 764-768
-
-
Magnus, W.1
-
40
-
-
0003280678
-
Lê cycles and hypersurface singularities
-
Springer, Berlin
-
[37] D. Massey, Lê Cycles and Hypersurface Singularities, Lecture Notes in Mathematics, Vol. 1615 (Springer, Berlin, 1995).
-
(1995)
Lecture Notes in Mathematics
, vol.1615
-
-
Massey, D.1
-
41
-
-
0002982313
-
Singular points of complex hypersurfaces
-
Princeton Univ. Press, Princeton, NJ
-
[38] J. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math. Stud., Vol. 61 (Princeton Univ. Press, Princeton, NJ, 1968).
-
(1968)
Ann. of Math. Stud.
, vol.61
-
-
Milnor, J.1
-
42
-
-
0000095452
-
Stable branch curves and braid monodromies
-
Springer, Berlin
-
[39] B. Moishezon, Stable branch curves and braid monodromies, in: Algebraic Geometry, Lecture Notes in Mathematics, Vol. 862 (Springer, Berlin, 1981) 107-192.
-
(1981)
Algebraic Geometry, Lecture Notes in Mathematics
, vol.862
, pp. 107-192
-
-
Moishezon, B.1
-
43
-
-
84967710268
-
The Burau representation is unfaithful for large n
-
[40] J. Moody, The Burau representation is unfaithful for large n, Bull. Amer. Math. Soc. 25 (1991) 379-384.
-
(1991)
Bull. Amer. Math. Soc.
, vol.25
, pp. 379-384
-
-
Moody, J.1
-
44
-
-
0000460110
-
Combinatorics and topology of complements of hyperplanes
-
[41] P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980) 167-189.
-
(1980)
Invent. Math.
, vol.56
, pp. 167-189
-
-
Orlik, P.1
Solomon, L.2
-
45
-
-
0002031911
-
Unitary reflection groups and cohomology
-
[42] P. Orlik and L. Solomon, Unitary reflection groups and cohomology, Invent. Math. 59 (1980) 77-94.
-
(1980)
Invent. Math.
, vol.59
, pp. 77-94
-
-
Orlik, P.1
Solomon, L.2
-
46
-
-
0003283210
-
Arrangements of hyperplanes
-
Springer, Berlin
-
[43] P. Orlik and H. Terao, Arrangements of Hyperplanes, Grundlehren, Vol. 300 (Springer, Berlin, 1992).
-
(1992)
Grundlehren
, vol.300
-
-
Orlik, P.1
Terao, H.2
-
47
-
-
0001180643
-
The homotopy type of Artin groups
-
[44] M. Salvetti, The homotopy type of Artin groups, Math. Res. Lett. 1 (1994) 565-577.
-
(1994)
Math. Res. Lett.
, vol.1
, pp. 565-577
-
-
Salvetti, M.1
-
48
-
-
0010059295
-
On local systems over complements to arrangements of hyperplanes associated to Grassman strata
-
CLIX
-
[45] M. Salvetti and M. Prati, On local systems over complements to arrangements of hyperplanes associated to Grassman strata, Ann. Mat. Pura Appl. (IV) CLIX (1991) 341-355.
-
(1991)
Ann. Mat. Pura Appl.
, vol.4
, pp. 341-355
-
-
Salvetti, M.1
Prati, M.2
-
49
-
-
0002446851
-
Cohomology of local systems and the Kac-Kazhdan condition for singular vectors
-
[46] V. Schechtman, H. Terao and A. Varchenko, Cohomology of local systems and the Kac-Kazhdan condition for singular vectors, J. Pure Appl. Algebra 100 (1995) 93-102.
-
(1995)
J. Pure Appl. Algebra
, vol.100
, pp. 93-102
-
-
Schechtman, V.1
Terao, H.2
Varchenko, A.3
-
50
-
-
0346895737
-
Arrangements of hyperplanes and Lie algebra homology
-
[47] V. Schechtman and A. Varchenko, Arrangements of hyperplanes and Lie algebra homology, Invent. Math. 106 (1991) 139-194.
-
(1991)
Invent. Math.
, vol.106
, pp. 139-194
-
-
Schechtman, V.1
Varchenko, A.2
-
51
-
-
0001760929
-
Modular elements of lattices and topological fibrations
-
[48] H. Terao, Modular elements of lattices and topological fibrations, Adv. Math. 62 (1986) 135-154.
-
(1986)
Adv. Math.
, vol.62
, pp. 135-154
-
-
Terao, H.1
-
52
-
-
0003328704
-
Multidimensional hypergeometric functions and representation theory of Lie algebras and Quantum groups
-
World Scientific, Singapore
-
[49] A. Varchenko, Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups, Advanced Series in Mathematical Phyics, Vol. 21, (World Scientific, Singapore, 1995).
-
(1995)
Advanced Series in Mathematical Phyics
, vol.21
-
-
Varchenko, A.1
-
54
-
-
21844520408
-
Cohomology of the Brieskorn-Orlik-Solomon algebras
-
[51] S. Yuzvinsky, Cohomology of the Brieskorn-Orlik-Solomon algebras, Comm. Algebra 23 (1995) 5339-5354.
-
(1995)
Comm. Algebra
, vol.23
, pp. 5339-5354
-
-
Yuzvinsky, S.1
|