Covering Spaces and Fundamental Group

Basic Algebraic Topology ◽

10.1201/b15776-8 ◽

2016 ◽

pp. 145-186

Keyword(s):

Fundamental Group ◽

Covering Spaces

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Covering Spaces and the Fundamental Group

Groups as Galois Groups ◽

10.1017/cbo9780511471117.006 ◽

1996 ◽

pp. 61-83

Keyword(s):

Fundamental Group ◽

Covering Spaces

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Orientability of Manifolds. The Fundamental Group. Covering Spaces (Fibre Bundles with Discrete Fibre)

Graduate Texts in Mathematics - Modern Geometry— Methods and Applications ◽

10.1007/978-1-4612-1100-6_4 ◽

1985 ◽

pp. 135-184

Author(s):

B. A. Dubrovin ◽

S. P. Novikov ◽

A. T. Fomenko

Keyword(s):

Fundamental Group ◽

Covering Spaces ◽

Fibre Bundles

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The Fundamental Group and Covering Spaces

Grundlehren der mathematischen Wissenschaften - Topology for Physicists ◽

10.1007/978-3-662-02998-5_4 ◽

1994 ◽

pp. 45-57

Author(s):

Albert S. Schwarz

Keyword(s):

Fundamental Group ◽

Covering Spaces

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The Fundamental Group and Covering Spaces

Lectures on the Geometry of Manifolds ◽

10.1142/9789811214820_0006 ◽

2020 ◽

pp. 227-240

Keyword(s):

Fundamental Group ◽

Covering Spaces

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The Fundamental Group and Covering Spaces

Graduate Texts in Mathematics - Algebraic Topology ◽

10.1007/978-1-4612-4180-5_13 ◽

1995 ◽

pp. 179-192

Author(s):

William Fulton

Keyword(s):

Fundamental Group ◽

Covering Spaces

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The Fundamental Group and Covering Spaces

Lectures on the Geometry of Manifolds ◽

10.1142/9789812770295_0006 ◽

2007 ◽

pp. 215-229

Keyword(s):

Fundamental Group ◽

Covering Spaces

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Fundamental group and covering spaces

Lecture Notes on Elementary Topology and Geometry ◽

10.1007/978-1-4615-7347-0_3 ◽

1967 ◽

pp. 49-77

Author(s):

I. M. Singer ◽

J. A. Thorpe

Keyword(s):

Fundamental Group ◽

Covering Spaces

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RETRACTED: The topological fundamental group and generalized covering spaces

Topology and its Applications ◽

10.1016/s0166-8641(01)00247-4 ◽

2002 ◽

Vol 124 (3) ◽

pp. 355-371 ◽

Cited By ~ 22

Author(s):

Daniel K. Biss

Keyword(s):

Fundamental Group ◽

Covering Spaces

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Retraction notice to “The topological fundamental group and generalized covering spaces” [Topol. Appl. 124 (3) (2002) 355–371]

Topology and its Applications ◽

10.1016/j.topol.2016.12.016 ◽

2017 ◽

Vol 217 ◽

pp. 116

Author(s):

Daniel K. Biss

Keyword(s):

Fundamental Group ◽

Covering Spaces ◽

Retraction Notice

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TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY

Communications in Contemporary Mathematics ◽

10.1142/s0219199799000213 ◽

1999 ◽

Vol 01 (04) ◽

pp. 553-587 ◽

Cited By ~ 20

Author(s):

MATILDE MARCOLLI ◽

VARGHESE MATHAI

Keyword(s):

Fundamental Group ◽

Index Theory ◽

Elliptic Operators ◽

Hyperbolic Spaces ◽

Covering Spaces ◽

Four Dimensions ◽

Complex Hyperbolic Spaces ◽

Projective Action

We study the twisted index theory of elliptic operators on orbifold covering spaces of compact good orbifolds, which are invariant under a projective action of the orbifold fundamental group. We apply these results to obtain qualitative results on real and complex hyperbolic spaces in two and four dimensions, related to generalizations of the Bethe–Sommerfeld conjecture and the Ten Martini Problem, on the spectrum of self adjoint elliptic operators which are invariant under a projective action of a discrete cocompact group.

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