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A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
- J. Eur. Math. Soc
"... Abstract. In this paper we show that given any 3-manifold N and any nonfibered class in H 1 (N ; Z) there exists a representation such that the corresponding twisted Alexander polynomial is zero. This is obtained by extending earlier work of the authors, together with results of Agol and Wise on se ..."
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Cited by 16 (7 self)
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Abstract. In this paper we show that given any 3-manifold N and any nonfibered class in H 1 (N ; Z) there exists a representation such that the corresponding twisted Alexander polynomial is zero. This is obtained by extending earlier work of the authors, together with results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
Conjugacy separability of 1-acylindrical graphs of free groups
, 2009
"... Abstract. We use the theory of group actions on profinite trees to prove that the fundamental group of a finite, 1-acylindrical graph of free groups with finitely generated edge groups is conjugacy separable. This has several applications: we prove that positive, C ′ (1/6) one-relator groups are con ..."
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Cited by 4 (1 self)
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Abstract. We use the theory of group actions on profinite trees to prove that the fundamental group of a finite, 1-acylindrical graph of free groups with finitely generated edge groups is conjugacy separable. This has several applications: we prove that positive, C ′ (1/6) one-relator groups are conjugacy separable; we provide a conjugacy separable version of the Rips construction; we use this latter to provide an example of two finitely presented, residually finite groups that have isomorphic profinite completions, such that one is conjugacy separable and the other does not even have solvable conjugacy problem. 1.
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"... of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol ⊲ are available online at ..."
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of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol ⊲ are available online at
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"... of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol ⊲ are available online at ..."
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of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol ⊲ are available online at
Contents
"... of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol. are available online at ..."
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of Virginia). The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of lectures marked with the symbol. are available online at
